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Finding the Third Proportional to 8,081 and 16,799

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Solution

The third proportional to 8,081 and 16,799 is: 34,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081 : 16,799 = 16,799 : x
  2. Step 2: Convert to fraction form
    8,081/16,799 = 16,799/x
  3. Step 3: Cross multiply
    8,081x = 16,799 × 16,799
  4. Step 4: Simplify right side
    8,081x = 282,206,401
  5. Step 5: Solve for x
    x = 282,206,401/8,081
  6. Step 6: Final answer
    x = 34,922.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.