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Finding the Third Proportional to 24,846.75 and 54,249.75

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Solution

The third proportional to 24,846.75 and 54,249.75 is: 118,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,846.75 : 54,249.75 = 54,249.75 : x
  2. Step 2: Convert to fraction form
    24,846.75/54,249.75 = 54,249.75/x
  3. Step 3: Cross multiply
    24,846.75x = 54,249.75 × 54,249.75
  4. Step 4: Simplify right side
    24,846.75x = 2,943,035,375.06
  5. Step 5: Solve for x
    x = 2,943,035,375.06/24,846.75
  6. Step 6: Final answer
    x = 118,447.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.