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Finding the Third Proportional to 2,195.44 and 3,180.94

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Solution

The third proportional to 2,195.44 and 3,180.94 is: 4,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.44 : 3,180.94 = 3,180.94 : x
  2. Step 2: Convert to fraction form
    2,195.44/3,180.94 = 3,180.94/x
  3. Step 3: Cross multiply
    2,195.44x = 3,180.94 × 3,180.94
  4. Step 4: Simplify right side
    2,195.44x = 10,118,363.38
  5. Step 5: Solve for x
    x = 10,118,363.38/2,195.44
  6. Step 6: Final answer
    x = 4,608.81

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.