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Finding the Third Proportional to 5,167.75 and 11,194.75

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Solution

The third proportional to 5,167.75 and 11,194.75 is: 24,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.75 : 11,194.75 = 11,194.75 : x
  2. Step 2: Convert to fraction form
    5,167.75/11,194.75 = 11,194.75/x
  3. Step 3: Cross multiply
    5,167.75x = 11,194.75 × 11,194.75
  4. Step 4: Simplify right side
    5,167.75x = 125,322,427.56
  5. Step 5: Solve for x
    x = 125,322,427.56/5,167.75
  6. Step 6: Final answer
    x = 24,250.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.