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Finding the Third Proportional to 8,174 and 11,847

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Solution

The third proportional to 8,174 and 11,847 is: 17,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174 : 11,847 = 11,847 : x
  2. Step 2: Convert to fraction form
    8,174/11,847 = 11,847/x
  3. Step 3: Cross multiply
    8,174x = 11,847 × 11,847
  4. Step 4: Simplify right side
    8,174x = 140,351,409
  5. Step 5: Solve for x
    x = 140,351,409/8,174
  6. Step 6: Final answer
    x = 17,170.47

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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.