Question

Solve for t in the proportion.

t
10
=
40
16


t =

Answer 1

To solve for \( t \) in the proportion

\[
\frac{t}{10} = \frac{40}{16}
\]

we can cross-multiply:

\[
t \cdot 16 = 10 \cdot 40
\]

Now, calculate \( 10 \cdot 40 \):

\[
t \cdot 16 = 400
\]

Next, solve for \( t \) by dividing both sides by 16:

\[
t = \frac{400}{16}
\]

Now, calculate \( \frac{400}{16} \):

\[
t = 25
\]

Thus, the value of \( t \) is

\[
\boxed{25}
\]