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Finding the Third Proportional to 2,224.97 and 3,472.24

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Solution

The third proportional to 2,224.97 and 3,472.24 is: 5,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.97 : 3,472.24 = 3,472.24 : x
  2. Step 2: Convert to fraction form
    2,224.97/3,472.24 = 3,472.24/x
  3. Step 3: Cross multiply
    2,224.97x = 3,472.24 × 3,472.24
  4. Step 4: Simplify right side
    2,224.97x = 12,056,465.81
  5. Step 5: Solve for x
    x = 12,056,465.81/2,224.97
  6. Step 6: Final answer
    x = 5,418.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.