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Finding the Third Proportional to 43,649 and 66,742

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Solution

The third proportional to 43,649 and 66,742 is: 102,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,649 : 66,742 = 66,742 : x
  2. Step 2: Convert to fraction form
    43,649/66,742 = 66,742/x
  3. Step 3: Cross multiply
    43,649x = 66,742 × 66,742
  4. Step 4: Simplify right side
    43,649x = 4,454,494,564
  5. Step 5: Solve for x
    x = 4,454,494,564/43,649
  6. Step 6: Final answer
    x = 102,052.61

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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.