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Finding the Third Proportional to 9,197.38 and 12,231.75

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Solution

The third proportional to 9,197.38 and 12,231.75 is: 16,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.38 : 12,231.75 = 12,231.75 : x
  2. Step 2: Convert to fraction form
    9,197.38/12,231.75 = 12,231.75/x
  3. Step 3: Cross multiply
    9,197.38x = 12,231.75 × 12,231.75
  4. Step 4: Simplify right side
    9,197.38x = 149,615,708.06
  5. Step 5: Solve for x
    x = 149,615,708.06/9,197.38
  6. Step 6: Final answer
    x = 16,267.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.