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Finding the Third Proportional to 7,163.44 and 14,635.69

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Solution

The third proportional to 7,163.44 and 14,635.69 is: 29,902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.44 : 14,635.69 = 14,635.69 : x
  2. Step 2: Convert to fraction form
    7,163.44/14,635.69 = 14,635.69/x
  3. Step 3: Cross multiply
    7,163.44x = 14,635.69 × 14,635.69
  4. Step 4: Simplify right side
    7,163.44x = 214,203,348.60
  5. Step 5: Solve for x
    x = 214,203,348.60/7,163.44
  6. Step 6: Final answer
    x = 29,902.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.