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Finding the Third Proportional to 2,196.70 and 3,295.27

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Solution

The third proportional to 2,196.70 and 3,295.27 is: 4,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.70 : 3,295.27 = 3,295.27 : x
  2. Step 2: Convert to fraction form
    2,196.70/3,295.27 = 3,295.27/x
  3. Step 3: Cross multiply
    2,196.70x = 3,295.27 × 3,295.27
  4. Step 4: Simplify right side
    2,196.70x = 10,858,775.54
  5. Step 5: Solve for x
    x = 10,858,775.54/2,196.70
  6. Step 6: Final answer
    x = 4,943.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.