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Finding the Third Proportional to 8,001 and 17,021

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Solution

The third proportional to 8,001 and 17,021 is: 36,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001 : 17,021 = 17,021 : x
  2. Step 2: Convert to fraction form
    8,001/17,021 = 17,021/x
  3. Step 3: Cross multiply
    8,001x = 17,021 × 17,021
  4. Step 4: Simplify right side
    8,001x = 289,714,441
  5. Step 5: Solve for x
    x = 289,714,441/8,001
  6. Step 6: Final answer
    x = 36,209.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.