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Finding the Third Proportional to 24,743 and 50,350

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Solution

The third proportional to 24,743 and 50,350 is: 102,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,743 : 50,350 = 50,350 : x
  2. Step 2: Convert to fraction form
    24,743/50,350 = 50,350/x
  3. Step 3: Cross multiply
    24,743x = 50,350 × 50,350
  4. Step 4: Simplify right side
    24,743x = 2,535,122,500
  5. Step 5: Solve for x
    x = 2,535,122,500/24,743
  6. Step 6: Final answer
    x = 102,458.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.