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Finding the Third Proportional to 33,258.94 and 72,729.56

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Solution

The third proportional to 33,258.94 and 72,729.56 is: 159,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,258.94 : 72,729.56 = 72,729.56 : x
  2. Step 2: Convert to fraction form
    33,258.94/72,729.56 = 72,729.56/x
  3. Step 3: Cross multiply
    33,258.94x = 72,729.56 × 72,729.56
  4. Step 4: Simplify right side
    33,258.94x = 5,289,589,261.44
  5. Step 5: Solve for x
    x = 5,289,589,261.44/33,258.94
  6. Step 6: Final answer
    x = 159,042.64

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