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Synonyms for Compatible (same or very similar meaning)

WordNet sense 1 ((of a couple) existing together harmoniously):
well-matched

WordNet sense 2 (going well together; possessing harmonizing qualities):
matched

WordNet sense 3 (having similar disposition and tastes):
sympathetic

WordNet sense 4 (suitable to your needs or similar to your nature):
congenial

WordNet sense 5 ((chemistry, physics) capable of being mixed):
miscible, mixable

WordNet sense 6 (existing together in harmony):
harmonious

WordNet sense 7 (suitable or appropriate together):
congruous


From the ODE community, based on WordNetadd/edit