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Finding the Third Proportional to 11,646 and 25,234

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Solution

The third proportional to 11,646 and 25,234 is: 54,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646 : 25,234 = 25,234 : x
  2. Step 2: Convert to fraction form
    11,646/25,234 = 25,234/x
  3. Step 3: Cross multiply
    11,646x = 25,234 × 25,234
  4. Step 4: Simplify right side
    11,646x = 636,754,756
  5. Step 5: Solve for x
    x = 636,754,756/11,646
  6. Step 6: Final answer
    x = 54,675.83

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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.