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Finding the Third Proportional to 33,785.44 and 54,420.19

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Solution

The third proportional to 33,785.44 and 54,420.19 is: 87,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,785.44 : 54,420.19 = 54,420.19 : x
  2. Step 2: Convert to fraction form
    33,785.44/54,420.19 = 54,420.19/x
  3. Step 3: Cross multiply
    33,785.44x = 54,420.19 × 54,420.19
  4. Step 4: Simplify right side
    33,785.44x = 2,961,556,807.54
  5. Step 5: Solve for x
    x = 2,961,556,807.54/33,785.44
  6. Step 6: Final answer
    x = 87,657.79

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.