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Finding the Third Proportional to 11,817 and 24,174

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Solution

The third proportional to 11,817 and 24,174 is: 49,452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817 : 24,174 = 24,174 : x
  2. Step 2: Convert to fraction form
    11,817/24,174 = 24,174/x
  3. Step 3: Cross multiply
    11,817x = 24,174 × 24,174
  4. Step 4: Simplify right side
    11,817x = 584,382,276
  5. Step 5: Solve for x
    x = 584,382,276/11,817
  6. Step 6: Final answer
    x = 49,452.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.