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Finding the Third Proportional to 11,980.41 and 24,942.94

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Solution

The third proportional to 11,980.41 and 24,942.94 is: 51,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.41 : 24,942.94 = 24,942.94 : x
  2. Step 2: Convert to fraction form
    11,980.41/24,942.94 = 24,942.94/x
  3. Step 3: Cross multiply
    11,980.41x = 24,942.94 × 24,942.94
  4. Step 4: Simplify right side
    11,980.41x = 622,150,131.13
  5. Step 5: Solve for x
    x = 622,150,131.13/11,980.41
  6. Step 6: Final answer
    x = 51,930.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.