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Finding the Third Proportional to 23,932 and 50,744

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Solution

The third proportional to 23,932 and 50,744 is: 107,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,932 : 50,744 = 50,744 : x
  2. Step 2: Convert to fraction form
    23,932/50,744 = 50,744/x
  3. Step 3: Cross multiply
    23,932x = 50,744 × 50,744
  4. Step 4: Simplify right side
    23,932x = 2,574,953,536
  5. Step 5: Solve for x
    x = 2,574,953,536/23,932
  6. Step 6: Final answer
    x = 107,594.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.