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Finding the Third Proportional to 4,161.38 and 9,105.75

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Solution

The third proportional to 4,161.38 and 9,105.75 is: 19,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.38 : 9,105.75 = 9,105.75 : x
  2. Step 2: Convert to fraction form
    4,161.38/9,105.75 = 9,105.75/x
  3. Step 3: Cross multiply
    4,161.38x = 9,105.75 × 9,105.75
  4. Step 4: Simplify right side
    4,161.38x = 82,914,683.06
  5. Step 5: Solve for x
    x = 82,914,683.06/4,161.38
  6. Step 6: Final answer
    x = 19,924.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.