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Finding the Third Proportional to 8,001 and 16,890

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Solution

The third proportional to 8,001 and 16,890 is: 35,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001 : 16,890 = 16,890 : x
  2. Step 2: Convert to fraction form
    8,001/16,890 = 16,890/x
  3. Step 3: Cross multiply
    8,001x = 16,890 × 16,890
  4. Step 4: Simplify right side
    8,001x = 285,272,100
  5. Step 5: Solve for x
    x = 285,272,100/8,001
  6. Step 6: Final answer
    x = 35,654.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.