Answer
$b=\dfrac{cP}{a}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given equation, $
P=\dfrac{ab}{c}
$ for $
b
,$ use the properties of equality to isolate the variable.
$\bf{\text{Solution Details:}}$
Using the properties of equality to isolate the variable, the equation above is equivalent to
\begin{array}{l}\require{cancel}
P=\dfrac{ab}{c}
\\\\
c\cdot P=c\cdot \dfrac{ab}{c}
\\\\
cP=ab
\\\\
\dfrac{cP}{a}=\dfrac{ab}{a}
\\\\
\dfrac{cP}{a}=b
\\\\
b=\dfrac{cP}{a}
.\end{array}