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Finding the Third Proportional to 19,918 and 41,876

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Solution

The third proportional to 19,918 and 41,876 is: 88,040.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,918 : 41,876 = 41,876 : x
  2. Step 2: Convert to fraction form
    19,918/41,876 = 41,876/x
  3. Step 3: Cross multiply
    19,918x = 41,876 × 41,876
  4. Step 4: Simplify right side
    19,918x = 1,753,599,376
  5. Step 5: Solve for x
    x = 1,753,599,376/19,918
  6. Step 6: Final answer
    x = 88,040.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.