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Finding the Third Proportional to 3,232.05 and 6,974.27

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Solution

The third proportional to 3,232.05 and 6,974.27 is: 15,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.05 : 6,974.27 = 6,974.27 : x
  2. Step 2: Convert to fraction form
    3,232.05/6,974.27 = 6,974.27/x
  3. Step 3: Cross multiply
    3,232.05x = 6,974.27 × 6,974.27
  4. Step 4: Simplify right side
    3,232.05x = 48,640,387.82
  5. Step 5: Solve for x
    x = 48,640,387.82/3,232.05
  6. Step 6: Final answer
    x = 15,049.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.