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Default Finding a Value Between Two Numbers and Returning Corresponding Value

I have a question I was hoping someone could help me with.

I have column of numbers in ascending order, of about 20 or so rows.
The numbers ascend sporadically ie, say column A1:A20 the numbers
start … 1, 5, 13, 20, 25…..
In the next column over (B1:B20), I have other numbers, that are
random (but more or less ascending) 3.5, 6, 7.5, 11.86, 20.76….

In Cell A25, I have an input number that is somewhere between the
numbers in Column A. For example 12. I am trying to write a formula
that will search the range in column A and will recognize the input of
12 is in between the 5 and 13 and then return the value in Column B
that is on the same row of the 13. (ie the max value between the 5 and
13).
I know there is a formula out there and I am trying to avoid VBA and
also trying to avoid an array function-if possible

I hope I have explained this correctly. Please let me know if I need
to clarify. Thank you in advance.
 
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