The proportionality constant [tex]k=\frac{1}{24}[/tex], and the equation that relates [tex]x[/tex] and [tex]y[/tex] is [tex]x=\frac{1}{24}y\text{ or } y=24x[/tex]
Since [tex]x[/tex] and [tex]y[/tex] are related by direct proportion,
[tex]x \text{ }{\displaystyle \propto}\text{ }y \implies x=ky[/tex]
where [tex]k[/tex] is our proportionality constant. To find the value of [tex]k[/tex], substitute the values [tex]x=3\text{ and } y=72[/tex] into the formula, and solve for [tex]k[/tex].
[tex]x=ky\\\implies 3=72k\\\implies k=\frac{1}{24}[/tex]
Thus the equation that relates [tex]x[/tex] and [tex]y[/tex] is
[tex]x=\frac{1}{24}y\text{ or } y=24x[/tex]
Learn more about direct proportion here: https://brainly.com/question/908424
