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Finding the Third Proportional to 40,941 and 61,469

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Solution

The third proportional to 40,941 and 61,469 is: 92,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,941 : 61,469 = 61,469 : x
  2. Step 2: Convert to fraction form
    40,941/61,469 = 61,469/x
  3. Step 3: Cross multiply
    40,941x = 61,469 × 61,469
  4. Step 4: Simplify right side
    40,941x = 3,778,437,961
  5. Step 5: Solve for x
    x = 3,778,437,961/40,941
  6. Step 6: Final answer
    x = 92,289.83

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Why These Related Problems?

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