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Finding the Third Proportional to 3,478 and 5,197

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Solution

The third proportional to 3,478 and 5,197 is: 7,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478 : 5,197 = 5,197 : x
  2. Step 2: Convert to fraction form
    3,478/5,197 = 5,197/x
  3. Step 3: Cross multiply
    3,478x = 5,197 × 5,197
  4. Step 4: Simplify right side
    3,478x = 27,008,809
  5. Step 5: Solve for x
    x = 27,008,809/3,478
  6. Step 6: Final answer
    x = 7,765.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.