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Finding the Third Proportional to 27,876 and 41,862

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Solution

The third proportional to 27,876 and 41,862 is: 62,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876 : 41,862 = 41,862 : x
  2. Step 2: Convert to fraction form
    27,876/41,862 = 41,862/x
  3. Step 3: Cross multiply
    27,876x = 41,862 × 41,862
  4. Step 4: Simplify right side
    27,876x = 1,752,427,044
  5. Step 5: Solve for x
    x = 1,752,427,044/27,876
  6. Step 6: Final answer
    x = 62,865.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.