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Finding the Third Proportional to 3,846.23 and 9,205.52

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Solution

The third proportional to 3,846.23 and 9,205.52 is: 22,032.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.23 : 9,205.52 = 9,205.52 : x
  2. Step 2: Convert to fraction form
    3,846.23/9,205.52 = 9,205.52/x
  3. Step 3: Cross multiply
    3,846.23x = 9,205.52 × 9,205.52
  4. Step 4: Simplify right side
    3,846.23x = 84,741,661.76
  5. Step 5: Solve for x
    x = 84,741,661.76/3,846.23
  6. Step 6: Final answer
    x = 22,032.37

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.