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Finding the Third Proportional to 27,696.75 and 60,406.38

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Solution

The third proportional to 27,696.75 and 60,406.38 is: 131,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,696.75 : 60,406.38 = 60,406.38 : x
  2. Step 2: Convert to fraction form
    27,696.75/60,406.38 = 60,406.38/x
  3. Step 3: Cross multiply
    27,696.75x = 60,406.38 × 60,406.38
  4. Step 4: Simplify right side
    27,696.75x = 3,648,930,140.64
  5. Step 5: Solve for x
    x = 3,648,930,140.64/27,696.75
  6. Step 6: Final answer
    x = 131,745.79

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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.