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Finding the Third Proportional to 8,270.25 and 17,241.38

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Solution

The third proportional to 8,270.25 and 17,241.38 is: 35,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.25 : 17,241.38 = 17,241.38 : x
  2. Step 2: Convert to fraction form
    8,270.25/17,241.38 = 17,241.38/x
  3. Step 3: Cross multiply
    8,270.25x = 17,241.38 × 17,241.38
  4. Step 4: Simplify right side
    8,270.25x = 297,265,011.89
  5. Step 5: Solve for x
    x = 297,265,011.89/8,270.25
  6. Step 6: Final answer
    x = 35,943.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.