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Finding the Third Proportional to 25,874 and 38,939

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Solution

The third proportional to 25,874 and 38,939 is: 58,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874 : 38,939 = 38,939 : x
  2. Step 2: Convert to fraction form
    25,874/38,939 = 38,939/x
  3. Step 3: Cross multiply
    25,874x = 38,939 × 38,939
  4. Step 4: Simplify right side
    25,874x = 1,516,245,721
  5. Step 5: Solve for x
    x = 1,516,245,721/25,874
  6. Step 6: Final answer
    x = 58,601.13

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