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Finding the Third Proportional to 28,864 and 61,882

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Solution

The third proportional to 28,864 and 61,882 is: 132,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,864 : 61,882 = 61,882 : x
  2. Step 2: Convert to fraction form
    28,864/61,882 = 61,882/x
  3. Step 3: Cross multiply
    28,864x = 61,882 × 61,882
  4. Step 4: Simplify right side
    28,864x = 3,829,381,924
  5. Step 5: Solve for x
    x = 3,829,381,924/28,864
  6. Step 6: Final answer
    x = 132,669.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.