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Finding the Third Proportional to 42,204.38 and 59,352.75

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Solution

The third proportional to 42,204.38 and 59,352.75 is: 83,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,204.38 : 59,352.75 = 59,352.75 : x
  2. Step 2: Convert to fraction form
    42,204.38/59,352.75 = 59,352.75/x
  3. Step 3: Cross multiply
    42,204.38x = 59,352.75 × 59,352.75
  4. Step 4: Simplify right side
    42,204.38x = 3,522,748,932.56
  5. Step 5: Solve for x
    x = 3,522,748,932.56/42,204.38
  6. Step 6: Final answer
    x = 83,468.81

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.