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Finding the Third Proportional to 2,361 and 3,996.75

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Solution

The third proportional to 2,361 and 3,996.75 is: 6,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361 : 3,996.75 = 3,996.75 : x
  2. Step 2: Convert to fraction form
    2,361/3,996.75 = 3,996.75/x
  3. Step 3: Cross multiply
    2,361x = 3,996.75 × 3,996.75
  4. Step 4: Simplify right side
    2,361x = 15,974,010.56
  5. Step 5: Solve for x
    x = 15,974,010.56/2,361
  6. Step 6: Final answer
    x = 6,765.78

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.