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Finding the Third Proportional to 43,756 and 67,882

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Solution

The third proportional to 43,756 and 67,882 is: 105,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,756 : 67,882 = 67,882 : x
  2. Step 2: Convert to fraction form
    43,756/67,882 = 67,882/x
  3. Step 3: Cross multiply
    43,756x = 67,882 × 67,882
  4. Step 4: Simplify right side
    43,756x = 4,607,965,924
  5. Step 5: Solve for x
    x = 4,607,965,924/43,756
  6. Step 6: Final answer
    x = 105,310.49

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