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Finding the Third Proportional to 8,001 and 16,976.25

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Solution

The third proportional to 8,001 and 16,976.25 is: 36,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001 : 16,976.25 = 16,976.25 : x
  2. Step 2: Convert to fraction form
    8,001/16,976.25 = 16,976.25/x
  3. Step 3: Cross multiply
    8,001x = 16,976.25 × 16,976.25
  4. Step 4: Simplify right side
    8,001x = 288,193,064.06
  5. Step 5: Solve for x
    x = 288,193,064.06/8,001
  6. Step 6: Final answer
    x = 36,019.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.