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Finding the Third Proportional to 3,350.81 and 7,163.44

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Solution

The third proportional to 3,350.81 and 7,163.44 is: 15,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,350.81 : 7,163.44 = 7,163.44 : x
  2. Step 2: Convert to fraction form
    3,350.81/7,163.44 = 7,163.44/x
  3. Step 3: Cross multiply
    3,350.81x = 7,163.44 × 7,163.44
  4. Step 4: Simplify right side
    3,350.81x = 51,314,836.82
  5. Step 5: Solve for x
    x = 51,314,836.82/3,350.81
  6. Step 6: Final answer
    x = 15,314.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.