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Finding the Third Proportional to 24,549 and 38,099

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Solution

The third proportional to 24,549 and 38,099 is: 59,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549 : 38,099 = 38,099 : x
  2. Step 2: Convert to fraction form
    24,549/38,099 = 38,099/x
  3. Step 3: Cross multiply
    24,549x = 38,099 × 38,099
  4. Step 4: Simplify right side
    24,549x = 1,451,533,801
  5. Step 5: Solve for x
    x = 1,451,533,801/24,549
  6. Step 6: Final answer
    x = 59,128.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.