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Finding the Third Proportional to 4,125.97 and 8,836.23

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Solution

The third proportional to 4,125.97 and 8,836.23 is: 18,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.97 : 8,836.23 = 8,836.23 : x
  2. Step 2: Convert to fraction form
    4,125.97/8,836.23 = 8,836.23/x
  3. Step 3: Cross multiply
    4,125.97x = 8,836.23 × 8,836.23
  4. Step 4: Simplify right side
    4,125.97x = 78,079,037.93
  5. Step 5: Solve for x
    x = 78,079,037.93/4,125.97
  6. Step 6: Final answer
    x = 18,923.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.