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Finding the Third Proportional to 12,205.05 and 20,101.61

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Solution

The third proportional to 12,205.05 and 20,101.61 is: 33,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.05 : 20,101.61 = 20,101.61 : x
  2. Step 2: Convert to fraction form
    12,205.05/20,101.61 = 20,101.61/x
  3. Step 3: Cross multiply
    12,205.05x = 20,101.61 × 20,101.61
  4. Step 4: Simplify right side
    12,205.05x = 404,074,542.42
  5. Step 5: Solve for x
    x = 404,074,542.42/12,205.05
  6. Step 6: Final answer
    x = 33,107.15

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.