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Finding the Third Proportional to 15,881 and 34,882

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Solution

The third proportional to 15,881 and 34,882 is: 76,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881 : 34,882 = 34,882 : x
  2. Step 2: Convert to fraction form
    15,881/34,882 = 34,882/x
  3. Step 3: Cross multiply
    15,881x = 34,882 × 34,882
  4. Step 4: Simplify right side
    15,881x = 1,216,753,924
  5. Step 5: Solve for x
    x = 1,216,753,924/15,881
  6. Step 6: Final answer
    x = 76,616.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.