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Default Use of Match, Index, and Vlookup to Interpolate

I have a 3 column table which looks like the following

A1..5 B1...2.0 C1 8.0
A2..12 B2...3.25 C2 11.0
A3..16 B3...4.65 C3 15.5

I would like to input a value of 7 in cell D1 that does the following:

Output: Looks in column A for 7 between 5 and 12, and then
interpolates between values 2.0 and 3.25 (based on the separation of 7
from 5 and 7 from 12) as the output from column B.

Because the columns are long, all the way to A250, I cannot do this
manually in any efficient way.

Thanks

 
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