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Finding the Third Proportional to 33,012.56 and 49,399.88

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Solution

The third proportional to 33,012.56 and 49,399.88 is: 73,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012.56 : 49,399.88 = 49,399.88 : x
  2. Step 2: Convert to fraction form
    33,012.56/49,399.88 = 49,399.88/x
  3. Step 3: Cross multiply
    33,012.56x = 49,399.88 × 49,399.88
  4. Step 4: Simplify right side
    33,012.56x = 2,440,347,650.02
  5. Step 5: Solve for x
    x = 2,440,347,650.02/33,012.56
  6. Step 6: Final answer
    x = 73,921.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.