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Finding the Third Proportional to 33,994.69 and 39,300.19

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Solution

The third proportional to 33,994.69 and 39,300.19 is: 45,433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,994.69 : 39,300.19 = 39,300.19 : x
  2. Step 2: Convert to fraction form
    33,994.69/39,300.19 = 39,300.19/x
  3. Step 3: Cross multiply
    33,994.69x = 39,300.19 × 39,300.19
  4. Step 4: Simplify right side
    33,994.69x = 1,544,504,737.54
  5. Step 5: Solve for x
    x = 1,544,504,737.54/33,994.69
  6. Step 6: Final answer
    x = 45,433.71

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.