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Finding the Third Proportional to 11,940.75 and 24,478.88

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Solution

The third proportional to 11,940.75 and 24,478.88 is: 50,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.75 : 24,478.88 = 24,478.88 : x
  2. Step 2: Convert to fraction form
    11,940.75/24,478.88 = 24,478.88/x
  3. Step 3: Cross multiply
    11,940.75x = 24,478.88 × 24,478.88
  4. Step 4: Simplify right side
    11,940.75x = 599,215,321.27
  5. Step 5: Solve for x
    x = 599,215,321.27/11,940.75
  6. Step 6: Final answer
    x = 50,182.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.