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Finding the Third Proportional to 40,452 and 61,494

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Solution

The third proportional to 40,452 and 61,494 is: 93,481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,452 : 61,494 = 61,494 : x
  2. Step 2: Convert to fraction form
    40,452/61,494 = 61,494/x
  3. Step 3: Cross multiply
    40,452x = 61,494 × 61,494
  4. Step 4: Simplify right side
    40,452x = 3,781,512,036
  5. Step 5: Solve for x
    x = 3,781,512,036/40,452
  6. Step 6: Final answer
    x = 93,481.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.