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Finding the Third Proportional to 7,469.09 and 16,163.30

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Solution

The third proportional to 7,469.09 and 16,163.30 is: 34,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.09 : 16,163.30 = 16,163.30 : x
  2. Step 2: Convert to fraction form
    7,469.09/16,163.30 = 16,163.30/x
  3. Step 3: Cross multiply
    7,469.09x = 16,163.30 × 16,163.30
  4. Step 4: Simplify right side
    7,469.09x = 261,252,165.87
  5. Step 5: Solve for x
    x = 261,252,165.87/7,469.09
  6. Step 6: Final answer
    x = 34,977.80

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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.