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Finding the Third Proportional to 33,189.75 and 71,679.94

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Solution

The third proportional to 33,189.75 and 71,679.94 is: 154,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,189.75 : 71,679.94 = 71,679.94 : x
  2. Step 2: Convert to fraction form
    33,189.75/71,679.94 = 71,679.94/x
  3. Step 3: Cross multiply
    33,189.75x = 71,679.94 × 71,679.94
  4. Step 4: Simplify right side
    33,189.75x = 5,138,013,440.00
  5. Step 5: Solve for x
    x = 5,138,013,440.00/33,189.75
  6. Step 6: Final answer
    x = 154,807.24

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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.