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Finding the Third Proportional to 24,750 and 50,361

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Solution

The third proportional to 24,750 and 50,361 is: 102,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,750 : 50,361 = 50,361 : x
  2. Step 2: Convert to fraction form
    24,750/50,361 = 50,361/x
  3. Step 3: Cross multiply
    24,750x = 50,361 × 50,361
  4. Step 4: Simplify right side
    24,750x = 2,536,230,321
  5. Step 5: Solve for x
    x = 2,536,230,321/24,750
  6. Step 6: Final answer
    x = 102,473.95

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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.