Fill in the boxes and complete the equivalent fractions:
`24/(21)=72/(square)=square/(84)`

Answer

To solve the problem of finding the equivalent fractions for the expression \( \frac{24}{21} = \frac{72}{\square} = \frac{\square}{84} \), we will follow these steps:

### Step 1: Identify the relationship between the fractions
We know that equivalent fractions represent the same value. Therefore, we can set up the equation based on the first fraction:
\[ \frac{24}{21} = \frac{72}{x} \]
where \( x \) is the unknown we need to find.

### Step 2: Cross-multiply to find \( x \)
Cross-multiplying gives us:
\[ 24 \cdot x = 72 \cdot 21 \]
Now, calculate \( 72 \cdot 21 \):
\[ 72 \cdot 21 = 1512 \]
So, we have:
\[ 24x = 1512 \]

### Step 3: Solve for \( x \)
To find \( x \), divide both sides by 24:
\[ x = \frac{1512}{24} \]
Now, perform the division:
\[ x = 63 \]
So, \( \frac{72}{63} \) is the second equivalent fraction.

### Step 4: Find the third equivalent fraction
Now we need to find the value for the third fraction \( \frac{y}{84} \) where \( y \) is the unknown:
\[ \frac{24}{21} = \frac{y}{84} \]
Cross-multiplying gives us:
\[ 24 \cdot 84 = 21 \cdot y \]
Now calculate \( 24 \cdot 84 \):
\[ 24 \cdot 84 = 2016 \]
So, we have:
\[ 2016 = 21y \]

### Step 5: Solve for \( y \)
To find \( y \), divide both sides by 21:
\[ y = \frac{2016}{21} \]
Now, perform the division:
\[ y = 96 \]
So, \( \frac{96}{84} \) is the third equivalent fraction.

### Final Answer
The completed equivalent fractions are:
\[ \frac{24}{21} = \frac{72}{63} = \frac{96}{84} \]