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Finding the Third Proportional to 57,340.13 and 74,932.88

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Solution

The third proportional to 57,340.13 and 74,932.88 is: 97,923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,340.13 : 74,932.88 = 74,932.88 : x
  2. Step 2: Convert to fraction form
    57,340.13/74,932.88 = 74,932.88/x
  3. Step 3: Cross multiply
    57,340.13x = 74,932.88 × 74,932.88
  4. Step 4: Simplify right side
    57,340.13x = 5,614,935,755.77
  5. Step 5: Solve for x
    x = 5,614,935,755.77/57,340.13
  6. Step 6: Final answer
    x = 97,923.33

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.