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Finding the Third Proportional to 3,496 and 5,366

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Solution

The third proportional to 3,496 and 5,366 is: 8,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496 : 5,366 = 5,366 : x
  2. Step 2: Convert to fraction form
    3,496/5,366 = 5,366/x
  3. Step 3: Cross multiply
    3,496x = 5,366 × 5,366
  4. Step 4: Simplify right side
    3,496x = 28,793,956
  5. Step 5: Solve for x
    x = 28,793,956/3,496
  6. Step 6: Final answer
    x = 8,236.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.