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Finding the Third Proportional to 3,299.72 and 7,163.28

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Solution

The third proportional to 3,299.72 and 7,163.28 is: 15,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.72 : 7,163.28 = 7,163.28 : x
  2. Step 2: Convert to fraction form
    3,299.72/7,163.28 = 7,163.28/x
  3. Step 3: Cross multiply
    3,299.72x = 7,163.28 × 7,163.28
  4. Step 4: Simplify right side
    3,299.72x = 51,312,570.29
  5. Step 5: Solve for x
    x = 51,312,570.29/3,299.72
  6. Step 6: Final answer
    x = 15,550.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.