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Finding the Third Proportional to 44,267 and 67,691

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Solution

The third proportional to 44,267 and 67,691 is: 103,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,267 : 67,691 = 67,691 : x
  2. Step 2: Convert to fraction form
    44,267/67,691 = 67,691/x
  3. Step 3: Cross multiply
    44,267x = 67,691 × 67,691
  4. Step 4: Simplify right side
    44,267x = 4,582,071,481
  5. Step 5: Solve for x
    x = 4,582,071,481/44,267
  6. Step 6: Final answer
    x = 103,509.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.