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Finding the Third Proportional to 33,518.81 and 51,105.94

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Solution

The third proportional to 33,518.81 and 51,105.94 is: 77,920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,518.81 : 51,105.94 = 51,105.94 : x
  2. Step 2: Convert to fraction form
    33,518.81/51,105.94 = 51,105.94/x
  3. Step 3: Cross multiply
    33,518.81x = 51,105.94 × 51,105.94
  4. Step 4: Simplify right side
    33,518.81x = 2,611,816,847.75
  5. Step 5: Solve for x
    x = 2,611,816,847.75/33,518.81
  6. Step 6: Final answer
    x = 77,920.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.