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Finding the Third Proportional to 8,164.13 and 11,976.19

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Solution

The third proportional to 8,164.13 and 11,976.19 is: 17,568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.13 : 11,976.19 = 11,976.19 : x
  2. Step 2: Convert to fraction form
    8,164.13/11,976.19 = 11,976.19/x
  3. Step 3: Cross multiply
    8,164.13x = 11,976.19 × 11,976.19
  4. Step 4: Simplify right side
    8,164.13x = 143,429,067.04
  5. Step 5: Solve for x
    x = 143,429,067.04/8,164.13
  6. Step 6: Final answer
    x = 17,568.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.