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Finding the Third Proportional to 23,558 and 34,067

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Solution

The third proportional to 23,558 and 34,067 is: 49,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,558 : 34,067 = 34,067 : x
  2. Step 2: Convert to fraction form
    23,558/34,067 = 34,067/x
  3. Step 3: Cross multiply
    23,558x = 34,067 × 34,067
  4. Step 4: Simplify right side
    23,558x = 1,160,560,489
  5. Step 5: Solve for x
    x = 1,160,560,489/23,558
  6. Step 6: Final answer
    x = 49,263.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.