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Finding the Third Proportional to 33,621.75 and 73,158

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Solution

The third proportional to 33,621.75 and 73,158 is: 159,185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,621.75 : 73,158 = 73,158 : x
  2. Step 2: Convert to fraction form
    33,621.75/73,158 = 73,158/x
  3. Step 3: Cross multiply
    33,621.75x = 73,158 × 73,158
  4. Step 4: Simplify right side
    33,621.75x = 5,352,092,964
  5. Step 5: Solve for x
    x = 5,352,092,964/33,621.75
  6. Step 6: Final answer
    x = 159,185.44

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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.