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Finding the Third Proportional to 33,906.94 and 73,281.38

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Solution

The third proportional to 33,906.94 and 73,281.38 is: 158,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,906.94 : 73,281.38 = 73,281.38 : x
  2. Step 2: Convert to fraction form
    33,906.94/73,281.38 = 73,281.38/x
  3. Step 3: Cross multiply
    33,906.94x = 73,281.38 × 73,281.38
  4. Step 4: Simplify right side
    33,906.94x = 5,370,159,921.89
  5. Step 5: Solve for x
    x = 5,370,159,921.89/33,906.94
  6. Step 6: Final answer
    x = 158,379.39

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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.