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Finding the Third Proportional to 9,343.69 and 20,163.09

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Solution

The third proportional to 9,343.69 and 20,163.09 is: 43,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.69 : 20,163.09 = 20,163.09 : x
  2. Step 2: Convert to fraction form
    9,343.69/20,163.09 = 20,163.09/x
  3. Step 3: Cross multiply
    9,343.69x = 20,163.09 × 20,163.09
  4. Step 4: Simplify right side
    9,343.69x = 406,550,349.57
  5. Step 5: Solve for x
    x = 406,550,349.57/9,343.69
  6. Step 6: Final answer
    x = 43,510.70

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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.