To solve the equation \(\frac{13}{3} = \frac{26}{y}\), we can use cross-multiplication. Here's how:

\[
13y = 3 \times 26
\]

Simplifying:

\[
13y = 78
\]

Now, divide both sides by 13 to isolate \(y\):

\[
y = \frac{78}{13}
\]

\[
y = 6
\]

Thus, \(y = 6\).

Would you like further details or explanations on any step?

Here are 5 related questions to expand your understanding:
1. How would you solve \(\frac{a}{b} = \frac{c}{d}\)?
2. What is the process of cross-multiplication, and when can it be used?
3. Can you apply the same method to \(\frac{5}{x} = \frac{15}{2}\)?
4. What happens when one of the terms in a ratio is negative?
5. How do you verify your solution for \(y\) in the equation?

**Tip:** Always check your solution by substituting it back into the original equation to ensure both sides are equal.

Learn how to solve the proportion equation 13/3 = 26/y using cross-multiplication. This example demonstrates key algebraic concepts, including proportions and the proportionality theorem. Suitable for students in Grades 6-8.

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