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Finding the Third Proportional to 2,744 and 5,671

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Solution

The third proportional to 2,744 and 5,671 is: 11,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744 : 5,671 = 5,671 : x
  2. Step 2: Convert to fraction form
    2,744/5,671 = 5,671/x
  3. Step 3: Cross multiply
    2,744x = 5,671 × 5,671
  4. Step 4: Simplify right side
    2,744x = 32,160,241
  5. Step 5: Solve for x
    x = 32,160,241/2,744
  6. Step 6: Final answer
    x = 11,720.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.