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Finding the Third Proportional to 1,996.31 and 3,241.27

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Solution

The third proportional to 1,996.31 and 3,241.27 is: 5,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.31 : 3,241.27 = 3,241.27 : x
  2. Step 2: Convert to fraction form
    1,996.31/3,241.27 = 3,241.27/x
  3. Step 3: Cross multiply
    1,996.31x = 3,241.27 × 3,241.27
  4. Step 4: Simplify right side
    1,996.31x = 10,505,802.85
  5. Step 5: Solve for x
    x = 10,505,802.85/1,996.31
  6. Step 6: Final answer
    x = 5,262.60

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.