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Finding the Third Proportional to 4,163.27 and 9,009.98

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Solution

The third proportional to 4,163.27 and 9,009.98 is: 19,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.27 : 9,009.98 = 9,009.98 : x
  2. Step 2: Convert to fraction form
    4,163.27/9,009.98 = 9,009.98/x
  3. Step 3: Cross multiply
    4,163.27x = 9,009.98 × 9,009.98
  4. Step 4: Simplify right side
    4,163.27x = 81,179,818.44
  5. Step 5: Solve for x
    x = 81,179,818.44/4,163.27
  6. Step 6: Final answer
    x = 19,499.04

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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.