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Finding the Third Proportional to 42,792 and 56,791.50

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Solution

The third proportional to 42,792 and 56,791.50 is: 75,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,792 : 56,791.50 = 56,791.50 : x
  2. Step 2: Convert to fraction form
    42,792/56,791.50 = 56,791.50/x
  3. Step 3: Cross multiply
    42,792x = 56,791.50 × 56,791.50
  4. Step 4: Simplify right side
    42,792x = 3,225,274,472.25
  5. Step 5: Solve for x
    x = 3,225,274,472.25/42,792
  6. Step 6: Final answer
    x = 75,370.97

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.