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Finding the Third Proportional to 3,476 and 5,149

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Solution

The third proportional to 3,476 and 5,149 is: 7,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476 : 5,149 = 5,149 : x
  2. Step 2: Convert to fraction form
    3,476/5,149 = 5,149/x
  3. Step 3: Cross multiply
    3,476x = 5,149 × 5,149
  4. Step 4: Simplify right side
    3,476x = 26,512,201
  5. Step 5: Solve for x
    x = 26,512,201/3,476
  6. Step 6: Final answer
    x = 7,627.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.