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Finding the Third Proportional to 40,338 and 87,876

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Solution

The third proportional to 40,338 and 87,876 is: 191,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,338 : 87,876 = 87,876 : x
  2. Step 2: Convert to fraction form
    40,338/87,876 = 87,876/x
  3. Step 3: Cross multiply
    40,338x = 87,876 × 87,876
  4. Step 4: Simplify right side
    40,338x = 7,722,191,376
  5. Step 5: Solve for x
    x = 7,722,191,376/40,338
  6. Step 6: Final answer
    x = 191,437.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.