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Finding the Third Proportional to 3,391 and 5,096

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Solution

The third proportional to 3,391 and 5,096 is: 7,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391 : 5,096 = 5,096 : x
  2. Step 2: Convert to fraction form
    3,391/5,096 = 5,096/x
  3. Step 3: Cross multiply
    3,391x = 5,096 × 5,096
  4. Step 4: Simplify right side
    3,391x = 25,969,216
  5. Step 5: Solve for x
    x = 25,969,216/3,391
  6. Step 6: Final answer
    x = 7,658.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.