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[flaming-tyger.livejournal.com]

extrapolate-verb [ik-strap-uh-leyt]
to infer (an unknown) from something that is known; conjecture.

http://dictionary.reference.com/browse/extrapolate

After a long and painful game of Clue, she was able to extrapolate that it had been Ms. Scarlett in the Lounge with the Candlestick.