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Finding the Third Proportional to 23,744 and 50,665

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Solution

The third proportional to 23,744 and 50,665 is: 108,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744 : 50,665 = 50,665 : x
  2. Step 2: Convert to fraction form
    23,744/50,665 = 50,665/x
  3. Step 3: Cross multiply
    23,744x = 50,665 × 50,665
  4. Step 4: Simplify right side
    23,744x = 2,566,942,225
  5. Step 5: Solve for x
    x = 2,566,942,225/23,744
  6. Step 6: Final answer
    x = 108,109.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.