Fill in the blank boxes:
`(14)/(21)= (square)/(3)= (6)/(square)`

Answer

To solve the equation `(14)/(21) = (square)/(3) = (6)/(square)`, we need to find the values of the two squares. Let's denote the first square as \( x \) and the second square as \( y \).

### Step 1: Set Up the Equations
We know that:
\[ \frac{14}{21} = \frac{x}{3} = \frac{6}{y} \]

### Step 2: Solve for \( x \)
Starting with the first part of the equation:
\[ \frac{14}{21} = \frac{x}{3} \]
We can cross-multiply:
\[ 14 \cdot 3 = 21 \cdot x \]
This simplifies to:
\[ 42 = 21x \]
Now, divide both sides by 21 to solve for \( x \):
\[ x = \frac{42}{21} = 2 \]

### Step 3: Solve for \( y \)
Now, we will use the second part of the equation:
\[ \frac{2}{3} = \frac{6}{y} \]
Again, we cross-multiply:
\[ 2y = 3 \cdot 6 \]
This simplifies to:
\[ 2y = 18 \]
Now, divide both sides by 2 to solve for \( y \):
\[ y = \frac{18}{2} = 9 \]

### Final Values
Thus, the values we found are:
- \( x = 2 \)
- \( y = 9 \)

So, the completed equation is:
\[ \frac{14}{21} = \frac{2}{3} = \frac{6}{9} \]