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Finding the Third Proportional to 4,163.63 and 10,198.13

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Solution

The third proportional to 4,163.63 and 10,198.13 is: 24,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.63 : 10,198.13 = 10,198.13 : x
  2. Step 2: Convert to fraction form
    4,163.63/10,198.13 = 10,198.13/x
  3. Step 3: Cross multiply
    4,163.63x = 10,198.13 × 10,198.13
  4. Step 4: Simplify right side
    4,163.63x = 104,001,753.52
  5. Step 5: Solve for x
    x = 104,001,753.52/4,163.63
  6. Step 6: Final answer
    x = 24,978.66

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.