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Finding the Third Proportional to 2,744 and 5,096

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Solution

The third proportional to 2,744 and 5,096 is: 9,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744 : 5,096 = 5,096 : x
  2. Step 2: Convert to fraction form
    2,744/5,096 = 5,096/x
  3. Step 3: Cross multiply
    2,744x = 5,096 × 5,096
  4. Step 4: Simplify right side
    2,744x = 25,969,216
  5. Step 5: Solve for x
    x = 25,969,216/2,744
  6. Step 6: Final answer
    x = 9,464

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.