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Finding the Third Proportional to 24,638 and 39,116

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Solution

The third proportional to 24,638 and 39,116 is: 62,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,638 : 39,116 = 39,116 : x
  2. Step 2: Convert to fraction form
    24,638/39,116 = 39,116/x
  3. Step 3: Cross multiply
    24,638x = 39,116 × 39,116
  4. Step 4: Simplify right side
    24,638x = 1,530,061,456
  5. Step 5: Solve for x
    x = 1,530,061,456/24,638
  6. Step 6: Final answer
    x = 62,101.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.