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ex·trap·o·late Listen to audio/ɪkˈstræpəˌleɪt/ verb
ex·trap·o·lates; ex·trap·o·lat·ed; ex·trap·o·lat·ing
formal : to form an opinion or to make an estimate about something from known facts [+ obj] We can extrapolate the number of new students entering next year by looking at how many entered in previous years.often + from They extrapolated these results from their research. [no obj] With such a small study it is impossible to extrapolate accurately.often + from She extrapolated from last year's data to arrive at her estimate.
— ex·trap·o·la·tion Listen to audio /ɪkˌstræpəˈleɪʃən/ noun, plural ex·trap·o·la·tions [count, noncount]

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