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Finding the Third Proportional to 23,761 and 50,204

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Solution

The third proportional to 23,761 and 50,204 is: 106,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,761 : 50,204 = 50,204 : x
  2. Step 2: Convert to fraction form
    23,761/50,204 = 50,204/x
  3. Step 3: Cross multiply
    23,761x = 50,204 × 50,204
  4. Step 4: Simplify right side
    23,761x = 2,520,441,616
  5. Step 5: Solve for x
    x = 2,520,441,616/23,761
  6. Step 6: Final answer
    x = 106,074.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.