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Finding the Third Proportional to 42,764.20 and 62,857.27

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Solution

The third proportional to 42,764.20 and 62,857.27 is: 92,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,764.20 : 62,857.27 = 62,857.27 : x
  2. Step 2: Convert to fraction form
    42,764.20/62,857.27 = 62,857.27/x
  3. Step 3: Cross multiply
    42,764.20x = 62,857.27 × 62,857.27
  4. Step 4: Simplify right side
    42,764.20x = 3,951,035,841.85
  5. Step 5: Solve for x
    x = 3,951,035,841.85/42,764.20
  6. Step 6: Final answer
    x = 92,391.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.