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Finding the Third Proportional to 11,717 and 25,225

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Solution

The third proportional to 11,717 and 25,225 is: 54,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717 : 25,225 = 25,225 : x
  2. Step 2: Convert to fraction form
    11,717/25,225 = 25,225/x
  3. Step 3: Cross multiply
    11,717x = 25,225 × 25,225
  4. Step 4: Simplify right side
    11,717x = 636,300,625
  5. Step 5: Solve for x
    x = 636,300,625/11,717
  6. Step 6: Final answer
    x = 54,305.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.