Etymology
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Words related to extravagant

extra- 
word-forming element meaning "outside; beyond the scope of; in addition to what is usual or expected," in classical Latin recorded only in extraordinarius, but more used in Medieval Latin and modern formations; it represents Latin extra (adv.) "on the outside, without, except," the old fem. ablative singular of exterus "outward, outside," comparative of ex "out of" (see ex-).
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vague (adj.)

"uncertain as to specifics," 1540s, from French vague "empty, vacant; wild, uncultivated; wandering" (13c.), from Latin vagus "strolling, wandering, rambling," figuratively "vacillating, uncertain," perhaps from PIE *Huog-o-  and cognate with Old Norse vakka "to stray, hover," Old High German wankon "to totter, stagger," Old High German winkan "to waver, stagger, wink," Old English wincian "to nod" [de Vaan]. Related: Vagueness.

extravagance (n.)
1640s, "an extravagant act," from French extravagance, from Late Latin extravagantem (see extravagant). Specifically of wasteful spending from 1727. Meaning "quality of being extravagant" is from 1670s. Extravagancy, "a wandering," especially "a wandering from the usual course," is attested from c. 1600, now rare.
extravaganza (n.)
1754 in reference to peculiar behavior, 1794 of a fantastic type of performance or writing, from Italian extravaganza, literally "an extravagance," from estravagante, from Medieval Latin extravagantem (see extravagant). Related: Extravaganzist.
stray (v.)
c. 1300, a shortening of Old French estraier "wander about, roam, drift, run loose," said of animals, especially a horse without a master, also of persons, perhaps literally "go about the streets," from estree "route, highway," from Late Latin via strata "paved road" (see street). On another theory, the Old French word is from Vulgar Latin *estragare, a contraction of *estravagare, representing Latin extra vagari "to wander outside" (see extravagant). Figurative sense of "to wander from the path of rectitude" is attested from early 14c. Related: Strayed; straying.