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Finding the Third Proportional to 9,174.94 and 20,099.81

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Solution

The third proportional to 9,174.94 and 20,099.81 is: 44,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.94 : 20,099.81 = 20,099.81 : x
  2. Step 2: Convert to fraction form
    9,174.94/20,099.81 = 20,099.81/x
  3. Step 3: Cross multiply
    9,174.94x = 20,099.81 × 20,099.81
  4. Step 4: Simplify right side
    9,174.94x = 404,002,462.54
  5. Step 5: Solve for x
    x = 404,002,462.54/9,174.94
  6. Step 6: Final answer
    x = 44,033.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.