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Finding the Third Proportional to 33,922.13 and 73,868.63

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Solution

The third proportional to 33,922.13 and 73,868.63 is: 160,855.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,922.13 : 73,868.63 = 73,868.63 : x
  2. Step 2: Convert to fraction form
    33,922.13/73,868.63 = 73,868.63/x
  3. Step 3: Cross multiply
    33,922.13x = 73,868.63 × 73,868.63
  4. Step 4: Simplify right side
    33,922.13x = 5,456,573,759.39
  5. Step 5: Solve for x
    x = 5,456,573,759.39/33,922.13
  6. Step 6: Final answer
    x = 160,855.89

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