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Finding the Third Proportional to 33,004.75 and 71,271.25

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Solution

The third proportional to 33,004.75 and 71,271.25 is: 153,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,004.75 : 71,271.25 = 71,271.25 : x
  2. Step 2: Convert to fraction form
    33,004.75/71,271.25 = 71,271.25/x
  3. Step 3: Cross multiply
    33,004.75x = 71,271.25 × 71,271.25
  4. Step 4: Simplify right side
    33,004.75x = 5,079,591,076.56
  5. Step 5: Solve for x
    x = 5,079,591,076.56/33,004.75
  6. Step 6: Final answer
    x = 153,904.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.