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Finding the Third Proportional to 42,382.97 and 57,559.78

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Solution

The third proportional to 42,382.97 and 57,559.78 is: 78,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,382.97 : 57,559.78 = 57,559.78 : x
  2. Step 2: Convert to fraction form
    42,382.97/57,559.78 = 57,559.78/x
  3. Step 3: Cross multiply
    42,382.97x = 57,559.78 × 57,559.78
  4. Step 4: Simplify right side
    42,382.97x = 3,313,128,417.55
  5. Step 5: Solve for x
    x = 3,313,128,417.55/42,382.97
  6. Step 6: Final answer
    x = 78,171.22

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.