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Finding the Third Proportional to 24,761 and 38,660

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Solution

The third proportional to 24,761 and 38,660 is: 60,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761 : 38,660 = 38,660 : x
  2. Step 2: Convert to fraction form
    24,761/38,660 = 38,660/x
  3. Step 3: Cross multiply
    24,761x = 38,660 × 38,660
  4. Step 4: Simplify right side
    24,761x = 1,494,595,600
  5. Step 5: Solve for x
    x = 1,494,595,600/24,761
  6. Step 6: Final answer
    x = 60,360.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.