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Finding the Third Proportional to 2,649.38 and 3,241.69

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Solution

The third proportional to 2,649.38 and 3,241.69 is: 3,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.38 : 3,241.69 = 3,241.69 : x
  2. Step 2: Convert to fraction form
    2,649.38/3,241.69 = 3,241.69/x
  3. Step 3: Cross multiply
    2,649.38x = 3,241.69 × 3,241.69
  4. Step 4: Simplify right side
    2,649.38x = 10,508,537.85
  5. Step 5: Solve for x
    x = 10,508,537.85/2,649.38
  6. Step 6: Final answer
    x = 3,966.42

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.