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Finding the Third Proportional to 27,897 and 41,906

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Solution

The third proportional to 27,897 and 41,906 is: 62,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897 : 41,906 = 41,906 : x
  2. Step 2: Convert to fraction form
    27,897/41,906 = 41,906/x
  3. Step 3: Cross multiply
    27,897x = 41,906 × 41,906
  4. Step 4: Simplify right side
    27,897x = 1,756,112,836
  5. Step 5: Solve for x
    x = 1,756,112,836/27,897
  6. Step 6: Final answer
    x = 62,949.88

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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.