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Finding the Third Proportional to 40,959 and 61,814

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Solution

The third proportional to 40,959 and 61,814 is: 93,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,959 : 61,814 = 61,814 : x
  2. Step 2: Convert to fraction form
    40,959/61,814 = 61,814/x
  3. Step 3: Cross multiply
    40,959x = 61,814 × 61,814
  4. Step 4: Simplify right side
    40,959x = 3,820,970,596
  5. Step 5: Solve for x
    x = 3,820,970,596/40,959
  6. Step 6: Final answer
    x = 93,287.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.