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Finding the Third Proportional to 40,644 and 61,074

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Solution

The third proportional to 40,644 and 61,074 is: 91,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,644 : 61,074 = 61,074 : x
  2. Step 2: Convert to fraction form
    40,644/61,074 = 61,074/x
  3. Step 3: Cross multiply
    40,644x = 61,074 × 61,074
  4. Step 4: Simplify right side
    40,644x = 3,730,033,476
  5. Step 5: Solve for x
    x = 3,730,033,476/40,644
  6. Step 6: Final answer
    x = 91,773.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.