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Finding the Third Proportional to 8,194.92 and 9,912.38

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Solution

The third proportional to 8,194.92 and 9,912.38 is: 11,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.92 : 9,912.38 = 9,912.38 : x
  2. Step 2: Convert to fraction form
    8,194.92/9,912.38 = 9,912.38/x
  3. Step 3: Cross multiply
    8,194.92x = 9,912.38 × 9,912.38
  4. Step 4: Simplify right side
    8,194.92x = 98,255,178.14
  5. Step 5: Solve for x
    x = 98,255,178.14/8,194.92
  6. Step 6: Final answer
    x = 11,989.76

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.