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Finding the Third Proportional to 8,001 and 16,401

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Solution

The third proportional to 8,001 and 16,401 is: 33,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001 : 16,401 = 16,401 : x
  2. Step 2: Convert to fraction form
    8,001/16,401 = 16,401/x
  3. Step 3: Cross multiply
    8,001x = 16,401 × 16,401
  4. Step 4: Simplify right side
    8,001x = 268,992,801
  5. Step 5: Solve for x
    x = 268,992,801/8,001
  6. Step 6: Final answer
    x = 33,619.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.