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Finding the Third Proportional to 11,747.75 and 24,467.25

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Solution

The third proportional to 11,747.75 and 24,467.25 is: 50,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.75 : 24,467.25 = 24,467.25 : x
  2. Step 2: Convert to fraction form
    11,747.75/24,467.25 = 24,467.25/x
  3. Step 3: Cross multiply
    11,747.75x = 24,467.25 × 24,467.25
  4. Step 4: Simplify right side
    11,747.75x = 598,646,322.56
  5. Step 5: Solve for x
    x = 598,646,322.56/11,747.75
  6. Step 6: Final answer
    x = 50,958.38

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