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Finding the Third Proportional to 4,342.38 and 9,163.25

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Solution

The third proportional to 4,342.38 and 9,163.25 is: 19,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.38 : 9,163.25 = 9,163.25 : x
  2. Step 2: Convert to fraction form
    4,342.38/9,163.25 = 9,163.25/x
  3. Step 3: Cross multiply
    4,342.38x = 9,163.25 × 9,163.25
  4. Step 4: Simplify right side
    4,342.38x = 83,965,150.56
  5. Step 5: Solve for x
    x = 83,965,150.56/4,342.38
  6. Step 6: Final answer
    x = 19,336.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.