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Finding the Third Proportional to 43,920 and 67,941

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Solution

The third proportional to 43,920 and 67,941 is: 105,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,920 : 67,941 = 67,941 : x
  2. Step 2: Convert to fraction form
    43,920/67,941 = 67,941/x
  3. Step 3: Cross multiply
    43,920x = 67,941 × 67,941
  4. Step 4: Simplify right side
    43,920x = 4,615,979,481
  5. Step 5: Solve for x
    x = 4,615,979,481/43,920
  6. Step 6: Final answer
    x = 105,099.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.