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Finding the Third Proportional to 33,745.20 and 73,846.37

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Solution

The third proportional to 33,745.20 and 73,846.37 is: 161,601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,745.20 : 73,846.37 = 73,846.37 : x
  2. Step 2: Convert to fraction form
    33,745.20/73,846.37 = 73,846.37/x
  3. Step 3: Cross multiply
    33,745.20x = 73,846.37 × 73,846.37
  4. Step 4: Simplify right side
    33,745.20x = 5,453,286,523.72
  5. Step 5: Solve for x
    x = 5,453,286,523.72/33,745.20
  6. Step 6: Final answer
    x = 161,601.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.