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Finding the Third Proportional to 33,407.44 and 79,840.69

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Solution

The third proportional to 33,407.44 and 79,840.69 is: 190,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,407.44 : 79,840.69 = 79,840.69 : x
  2. Step 2: Convert to fraction form
    33,407.44/79,840.69 = 79,840.69/x
  3. Step 3: Cross multiply
    33,407.44x = 79,840.69 × 79,840.69
  4. Step 4: Simplify right side
    33,407.44x = 6,374,535,380.47
  5. Step 5: Solve for x
    x = 6,374,535,380.47/33,407.44
  6. Step 6: Final answer
    x = 190,811.86

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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.