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Finding the Third Proportional to 24,099 and 52,734

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Solution

The third proportional to 24,099 and 52,734 is: 115,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,099 : 52,734 = 52,734 : x
  2. Step 2: Convert to fraction form
    24,099/52,734 = 52,734/x
  3. Step 3: Cross multiply
    24,099x = 52,734 × 52,734
  4. Step 4: Simplify right side
    24,099x = 2,780,874,756
  5. Step 5: Solve for x
    x = 2,780,874,756/24,099
  6. Step 6: Final answer
    x = 115,393.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.