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Finding the Third Proportional to 8,514 and 11,979

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Solution

The third proportional to 8,514 and 11,979 is: 16,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514 : 11,979 = 11,979 : x
  2. Step 2: Convert to fraction form
    8,514/11,979 = 11,979/x
  3. Step 3: Cross multiply
    8,514x = 11,979 × 11,979
  4. Step 4: Simplify right side
    8,514x = 143,496,441
  5. Step 5: Solve for x
    x = 143,496,441/8,514
  6. Step 6: Final answer
    x = 16,854.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.