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Finding the Third Proportional to 13,382.72 and 20,034.84

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Solution

The third proportional to 13,382.72 and 20,034.84 is: 29,993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.72 : 20,034.84 = 20,034.84 : x
  2. Step 2: Convert to fraction form
    13,382.72/20,034.84 = 20,034.84/x
  3. Step 3: Cross multiply
    13,382.72x = 20,034.84 × 20,034.84
  4. Step 4: Simplify right side
    13,382.72x = 401,394,964.09
  5. Step 5: Solve for x
    x = 401,394,964.09/13,382.72
  6. Step 6: Final answer
    x = 29,993.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.