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Finding the Third Proportional to 15,123.75 and 24,022.88

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Solution

The third proportional to 15,123.75 and 24,022.88 is: 38,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.75 : 24,022.88 = 24,022.88 : x
  2. Step 2: Convert to fraction form
    15,123.75/24,022.88 = 24,022.88/x
  3. Step 3: Cross multiply
    15,123.75x = 24,022.88 × 24,022.88
  4. Step 4: Simplify right side
    15,123.75x = 577,098,523.27
  5. Step 5: Solve for x
    x = 577,098,523.27/15,123.75
  6. Step 6: Final answer
    x = 38,158.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.