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Finding the Third Proportional to 25,868 and 38,866

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Solution

The third proportional to 25,868 and 38,866 is: 58,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,868 : 38,866 = 38,866 : x
  2. Step 2: Convert to fraction form
    25,868/38,866 = 38,866/x
  3. Step 3: Cross multiply
    25,868x = 38,866 × 38,866
  4. Step 4: Simplify right side
    25,868x = 1,510,565,956
  5. Step 5: Solve for x
    x = 1,510,565,956/25,868
  6. Step 6: Final answer
    x = 58,395.16

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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.