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Finding the Third Proportional to 33,458.06 and 71,745.75

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Solution

The third proportional to 33,458.06 and 71,745.75 is: 153,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,458.06 : 71,745.75 = 71,745.75 : x
  2. Step 2: Convert to fraction form
    33,458.06/71,745.75 = 71,745.75/x
  3. Step 3: Cross multiply
    33,458.06x = 71,745.75 × 71,745.75
  4. Step 4: Simplify right side
    33,458.06x = 5,147,452,643.06
  5. Step 5: Solve for x
    x = 5,147,452,643.06/33,458.06
  6. Step 6: Final answer
    x = 153,847.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.