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Finding the Third Proportional to 6,514 and 8,467

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Solution

The third proportional to 6,514 and 8,467 is: 11,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514 : 8,467 = 8,467 : x
  2. Step 2: Convert to fraction form
    6,514/8,467 = 8,467/x
  3. Step 3: Cross multiply
    6,514x = 8,467 × 8,467
  4. Step 4: Simplify right side
    6,514x = 71,690,089
  5. Step 5: Solve for x
    x = 71,690,089/6,514
  6. Step 6: Final answer
    x = 11,005.54

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.