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Finding the Third Proportional to 24,118 and 37,113

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Solution

The third proportional to 24,118 and 37,113 is: 57,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,118 : 37,113 = 37,113 : x
  2. Step 2: Convert to fraction form
    24,118/37,113 = 37,113/x
  3. Step 3: Cross multiply
    24,118x = 37,113 × 37,113
  4. Step 4: Simplify right side
    24,118x = 1,377,374,769
  5. Step 5: Solve for x
    x = 1,377,374,769/24,118
  6. Step 6: Final answer
    x = 57,109.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.