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Finding the Third Proportional to 33,655.75 and 73,424.75

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Solution

The third proportional to 33,655.75 and 73,424.75 is: 160,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,655.75 : 73,424.75 = 73,424.75 : x
  2. Step 2: Convert to fraction form
    33,655.75/73,424.75 = 73,424.75/x
  3. Step 3: Cross multiply
    33,655.75x = 73,424.75 × 73,424.75
  4. Step 4: Simplify right side
    33,655.75x = 5,391,193,912.56
  5. Step 5: Solve for x
    x = 5,391,193,912.56/33,655.75
  6. Step 6: Final answer
    x = 160,186.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.