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Finding the Third Proportional to 2,198.39 and 3,206.46

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Solution

The third proportional to 2,198.39 and 3,206.46 is: 4,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.39 : 3,206.46 = 3,206.46 : x
  2. Step 2: Convert to fraction form
    2,198.39/3,206.46 = 3,206.46/x
  3. Step 3: Cross multiply
    2,198.39x = 3,206.46 × 3,206.46
  4. Step 4: Simplify right side
    2,198.39x = 10,281,391.74
  5. Step 5: Solve for x
    x = 10,281,391.74/2,198.39
  6. Step 6: Final answer
    x = 4,676.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.