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Finding the Third Proportional to 24,757.52 and 54,538.31

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Solution

The third proportional to 24,757.52 and 54,538.31 is: 120,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,757.52 : 54,538.31 = 54,538.31 : x
  2. Step 2: Convert to fraction form
    24,757.52/54,538.31 = 54,538.31/x
  3. Step 3: Cross multiply
    24,757.52x = 54,538.31 × 54,538.31
  4. Step 4: Simplify right side
    24,757.52x = 2,974,427,530.35
  5. Step 5: Solve for x
    x = 2,974,427,530.35/24,757.52
  6. Step 6: Final answer
    x = 120,142.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.