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Finding the Third Proportional to 8,001.28 and 11,596.92

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Solution

The third proportional to 8,001.28 and 11,596.92 is: 16,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.28 : 11,596.92 = 11,596.92 : x
  2. Step 2: Convert to fraction form
    8,001.28/11,596.92 = 11,596.92/x
  3. Step 3: Cross multiply
    8,001.28x = 11,596.92 × 11,596.92
  4. Step 4: Simplify right side
    8,001.28x = 134,488,596.97
  5. Step 5: Solve for x
    x = 134,488,596.97/8,001.28
  6. Step 6: Final answer
    x = 16,808.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.