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Finding the Third Proportional to 3,208 and 3,508

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Solution

The third proportional to 3,208 and 3,508 is: 3,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208 : 3,508 = 3,508 : x
  2. Step 2: Convert to fraction form
    3,208/3,508 = 3,508/x
  3. Step 3: Cross multiply
    3,208x = 3,508 × 3,508
  4. Step 4: Simplify right side
    3,208x = 12,306,064
  5. Step 5: Solve for x
    x = 12,306,064/3,208
  6. Step 6: Final answer
    x = 3,836.05

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.