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Finding the Third Proportional to 23,372 and 50,626

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Solution

The third proportional to 23,372 and 50,626 is: 109,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,372 : 50,626 = 50,626 : x
  2. Step 2: Convert to fraction form
    23,372/50,626 = 50,626/x
  3. Step 3: Cross multiply
    23,372x = 50,626 × 50,626
  4. Step 4: Simplify right side
    23,372x = 2,562,991,876
  5. Step 5: Solve for x
    x = 2,562,991,876/23,372
  6. Step 6: Final answer
    x = 109,660.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.