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Finding the Third Proportional to 24,862 and 34,761

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Solution

The third proportional to 24,862 and 34,761 is: 48,601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,862 : 34,761 = 34,761 : x
  2. Step 2: Convert to fraction form
    24,862/34,761 = 34,761/x
  3. Step 3: Cross multiply
    24,862x = 34,761 × 34,761
  4. Step 4: Simplify right side
    24,862x = 1,208,327,121
  5. Step 5: Solve for x
    x = 1,208,327,121/24,862
  6. Step 6: Final answer
    x = 48,601.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.