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Finding the Third Proportional to 27,186.75 and 55,137.38

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Solution

The third proportional to 27,186.75 and 55,137.38 is: 111,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186.75 : 55,137.38 = 55,137.38 : x
  2. Step 2: Convert to fraction form
    27,186.75/55,137.38 = 55,137.38/x
  3. Step 3: Cross multiply
    27,186.75x = 55,137.38 × 55,137.38
  4. Step 4: Simplify right side
    27,186.75x = 3,040,130,121.89
  5. Step 5: Solve for x
    x = 3,040,130,121.89/27,186.75
  6. Step 6: Final answer
    x = 111,823.96

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.