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Finding the Third Proportional to 33,351.75 and 72,474.75

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Solution

The third proportional to 33,351.75 and 72,474.75 is: 157,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,351.75 : 72,474.75 = 72,474.75 : x
  2. Step 2: Convert to fraction form
    33,351.75/72,474.75 = 72,474.75/x
  3. Step 3: Cross multiply
    33,351.75x = 72,474.75 × 72,474.75
  4. Step 4: Simplify right side
    33,351.75x = 5,252,589,387.56
  5. Step 5: Solve for x
    x = 5,252,589,387.56/33,351.75
  6. Step 6: Final answer
    x = 157,490.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.