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Finding the Third Proportional to 2,324.11 and 3,491.23

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Solution

The third proportional to 2,324.11 and 3,491.23 is: 5,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.11 : 3,491.23 = 3,491.23 : x
  2. Step 2: Convert to fraction form
    2,324.11/3,491.23 = 3,491.23/x
  3. Step 3: Cross multiply
    2,324.11x = 3,491.23 × 3,491.23
  4. Step 4: Simplify right side
    2,324.11x = 12,188,662.91
  5. Step 5: Solve for x
    x = 12,188,662.91/2,324.11
  6. Step 6: Final answer
    x = 5,244.44

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Why These Related Problems?

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