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Finding the Third Proportional to 33,933.94 and 73,092.38

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Solution

The third proportional to 33,933.94 and 73,092.38 is: 157,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,933.94 : 73,092.38 = 73,092.38 : x
  2. Step 2: Convert to fraction form
    33,933.94/73,092.38 = 73,092.38/x
  3. Step 3: Cross multiply
    33,933.94x = 73,092.38 × 73,092.38
  4. Step 4: Simplify right side
    33,933.94x = 5,342,495,283.14
  5. Step 5: Solve for x
    x = 5,342,495,283.14/33,933.94
  6. Step 6: Final answer
    x = 157,438.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.