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Finding the Third Proportional to 33,297.12 and 59,198.37

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Solution

The third proportional to 33,297.12 and 59,198.37 is: 105,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,297.12 : 59,198.37 = 59,198.37 : x
  2. Step 2: Convert to fraction form
    33,297.12/59,198.37 = 59,198.37/x
  3. Step 3: Cross multiply
    33,297.12x = 59,198.37 × 59,198.37
  4. Step 4: Simplify right side
    33,297.12x = 3,504,446,677.67
  5. Step 5: Solve for x
    x = 3,504,446,677.67/33,297.12
  6. Step 6: Final answer
    x = 105,247.75

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.