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Finding the Third Proportional to 23,924 and 50,962

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Solution

The third proportional to 23,924 and 50,962 is: 108,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,924 : 50,962 = 50,962 : x
  2. Step 2: Convert to fraction form
    23,924/50,962 = 50,962/x
  3. Step 3: Cross multiply
    23,924x = 50,962 × 50,962
  4. Step 4: Simplify right side
    23,924x = 2,597,125,444
  5. Step 5: Solve for x
    x = 2,597,125,444/23,924
  6. Step 6: Final answer
    x = 108,557.33

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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.