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Finding the Third Proportional to 23,542.52 and 51,748.56

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Solution

The third proportional to 23,542.52 and 51,748.56 is: 113,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,542.52 : 51,748.56 = 51,748.56 : x
  2. Step 2: Convert to fraction form
    23,542.52/51,748.56 = 51,748.56/x
  3. Step 3: Cross multiply
    23,542.52x = 51,748.56 × 51,748.56
  4. Step 4: Simplify right side
    23,542.52x = 2,677,913,316.53
  5. Step 5: Solve for x
    x = 2,677,913,316.53/23,542.52
  6. Step 6: Final answer
    x = 113,747.93

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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.