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Finding the Third Proportional to 8,077 and 16,451

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Solution

The third proportional to 8,077 and 16,451 is: 33,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077 : 16,451 = 16,451 : x
  2. Step 2: Convert to fraction form
    8,077/16,451 = 16,451/x
  3. Step 3: Cross multiply
    8,077x = 16,451 × 16,451
  4. Step 4: Simplify right side
    8,077x = 270,635,401
  5. Step 5: Solve for x
    x = 270,635,401/8,077
  6. Step 6: Final answer
    x = 33,506.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.