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Finding the Third Proportional to 37,881 and 79,863

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Solution

The third proportional to 37,881 and 79,863 is: 168,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,881 : 79,863 = 79,863 : x
  2. Step 2: Convert to fraction form
    37,881/79,863 = 79,863/x
  3. Step 3: Cross multiply
    37,881x = 79,863 × 79,863
  4. Step 4: Simplify right side
    37,881x = 6,378,098,769
  5. Step 5: Solve for x
    x = 6,378,098,769/37,881
  6. Step 6: Final answer
    x = 168,371.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.