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Finding the Third Proportional to 33,980.94 and 79,950.31

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Solution

The third proportional to 33,980.94 and 79,950.31 is: 188,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,980.94 : 79,950.31 = 79,950.31 : x
  2. Step 2: Convert to fraction form
    33,980.94/79,950.31 = 79,950.31/x
  3. Step 3: Cross multiply
    33,980.94x = 79,950.31 × 79,950.31
  4. Step 4: Simplify right side
    33,980.94x = 6,392,052,468.85
  5. Step 5: Solve for x
    x = 6,392,052,468.85/33,980.94
  6. Step 6: Final answer
    x = 188,107.01

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.