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Finding the Third Proportional to 11,469 and 25,193

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Solution

The third proportional to 11,469 and 25,193 is: 55,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469 : 25,193 = 25,193 : x
  2. Step 2: Convert to fraction form
    11,469/25,193 = 25,193/x
  3. Step 3: Cross multiply
    11,469x = 25,193 × 25,193
  4. Step 4: Simplify right side
    11,469x = 634,687,249
  5. Step 5: Solve for x
    x = 634,687,249/11,469
  6. Step 6: Final answer
    x = 55,339.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.