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Finding the Third Proportional to 4,472.72 and 9,683.30

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Solution

The third proportional to 4,472.72 and 9,683.30 is: 20,964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.72 : 9,683.30 = 9,683.30 : x
  2. Step 2: Convert to fraction form
    4,472.72/9,683.30 = 9,683.30/x
  3. Step 3: Cross multiply
    4,472.72x = 9,683.30 × 9,683.30
  4. Step 4: Simplify right side
    4,472.72x = 93,766,238.37
  5. Step 5: Solve for x
    x = 93,766,238.37/4,472.72
  6. Step 6: Final answer
    x = 20,964.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.