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Finding the Third Proportional to 3,296.95 and 4,474.62

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Solution

The third proportional to 3,296.95 and 4,474.62 is: 6,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.95 : 4,474.62 = 4,474.62 : x
  2. Step 2: Convert to fraction form
    3,296.95/4,474.62 = 4,474.62/x
  3. Step 3: Cross multiply
    3,296.95x = 4,474.62 × 4,474.62
  4. Step 4: Simplify right side
    3,296.95x = 20,022,198.97
  5. Step 5: Solve for x
    x = 20,022,198.97/3,296.95
  6. Step 6: Final answer
    x = 6,072.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.