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Finding the Third Proportional to 23,876 and 50,599

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Solution

The third proportional to 23,876 and 50,599 is: 107,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876 : 50,599 = 50,599 : x
  2. Step 2: Convert to fraction form
    23,876/50,599 = 50,599/x
  3. Step 3: Cross multiply
    23,876x = 50,599 × 50,599
  4. Step 4: Simplify right side
    23,876x = 2,560,258,801
  5. Step 5: Solve for x
    x = 2,560,258,801/23,876
  6. Step 6: Final answer
    x = 107,231.48

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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.