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Finding the Third Proportional to 33,832.69 and 72,193.78

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Solution

The third proportional to 33,832.69 and 72,193.78 is: 154,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,832.69 : 72,193.78 = 72,193.78 : x
  2. Step 2: Convert to fraction form
    33,832.69/72,193.78 = 72,193.78/x
  3. Step 3: Cross multiply
    33,832.69x = 72,193.78 × 72,193.78
  4. Step 4: Simplify right side
    33,832.69x = 5,211,942,051.17
  5. Step 5: Solve for x
    x = 5,211,942,051.17/33,832.69
  6. Step 6: Final answer
    x = 154,050.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.