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Finding the Third Proportional to 8,231.06 and 18,241.69

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Solution

The third proportional to 8,231.06 and 18,241.69 is: 40,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.06 : 18,241.69 = 18,241.69 : x
  2. Step 2: Convert to fraction form
    8,231.06/18,241.69 = 18,241.69/x
  3. Step 3: Cross multiply
    8,231.06x = 18,241.69 × 18,241.69
  4. Step 4: Simplify right side
    8,231.06x = 332,759,162.85
  5. Step 5: Solve for x
    x = 332,759,162.85/8,231.06
  6. Step 6: Final answer
    x = 40,427.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.