Question
Solve for n in the proportion.
54
45
=
n
5
n =
54
45
=
n
5
n =
Answers
Answered by
GPT-4o mini
To solve for \( n \) in the proportion
\[
\frac{54}{45} = \frac{n}{5},
\]
we can cross-multiply:
\[
54 \cdot 5 = 45 \cdot n.
\]
This simplifies to:
\[
270 = 45n.
\]
Next, we divide both sides by 45 to solve for \( n \):
\[
n = \frac{270}{45}.
\]
Now, we simplify \( \frac{270}{45} \):
\[
n = 6.
\]
Thus, the solution is
\[
\boxed{6}.
\]
\[
\frac{54}{45} = \frac{n}{5},
\]
we can cross-multiply:
\[
54 \cdot 5 = 45 \cdot n.
\]
This simplifies to:
\[
270 = 45n.
\]
Next, we divide both sides by 45 to solve for \( n \):
\[
n = \frac{270}{45}.
\]
Now, we simplify \( \frac{270}{45} \):
\[
n = 6.
\]
Thus, the solution is
\[
\boxed{6}.
\]
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