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Finding the Third Proportional to 8,519 and 14,079

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Solution

The third proportional to 8,519 and 14,079 is: 23,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519 : 14,079 = 14,079 : x
  2. Step 2: Convert to fraction form
    8,519/14,079 = 14,079/x
  3. Step 3: Cross multiply
    8,519x = 14,079 × 14,079
  4. Step 4: Simplify right side
    8,519x = 198,218,241
  5. Step 5: Solve for x
    x = 198,218,241/8,519
  6. Step 6: Final answer
    x = 23,267.78

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.