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Finding the Third Proportional to 33,150.94 and 71,558.44

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Solution

The third proportional to 33,150.94 and 71,558.44 is: 154,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,150.94 : 71,558.44 = 71,558.44 : x
  2. Step 2: Convert to fraction form
    33,150.94/71,558.44 = 71,558.44/x
  3. Step 3: Cross multiply
    33,150.94x = 71,558.44 × 71,558.44
  4. Step 4: Simplify right side
    33,150.94x = 5,120,609,977.44
  5. Step 5: Solve for x
    x = 5,120,609,977.44/33,150.94
  6. Step 6: Final answer
    x = 154,463.50

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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.