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Finding the Third Proportional to 4,208 and 5,496

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Solution

The third proportional to 4,208 and 5,496 is: 7,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208 : 5,496 = 5,496 : x
  2. Step 2: Convert to fraction form
    4,208/5,496 = 5,496/x
  3. Step 3: Cross multiply
    4,208x = 5,496 × 5,496
  4. Step 4: Simplify right side
    4,208x = 30,206,016
  5. Step 5: Solve for x
    x = 30,206,016/4,208
  6. Step 6: Final answer
    x = 7,178.24

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.