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Finding the Third Proportional to 8,191.13 and 9,401.06

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Solution

The third proportional to 8,191.13 and 9,401.06 is: 10,789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.13 : 9,401.06 = 9,401.06 : x
  2. Step 2: Convert to fraction form
    8,191.13/9,401.06 = 9,401.06/x
  3. Step 3: Cross multiply
    8,191.13x = 9,401.06 × 9,401.06
  4. Step 4: Simplify right side
    8,191.13x = 88,379,976.13
  5. Step 5: Solve for x
    x = 88,379,976.13/8,191.13
  6. Step 6: Final answer
    x = 10,789.72

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.