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Finding the Third Proportional to 11,682.56 and 25,212.94

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Solution

The third proportional to 11,682.56 and 25,212.94 is: 54,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.56 : 25,212.94 = 25,212.94 : x
  2. Step 2: Convert to fraction form
    11,682.56/25,212.94 = 25,212.94/x
  3. Step 3: Cross multiply
    11,682.56x = 25,212.94 × 25,212.94
  4. Step 4: Simplify right side
    11,682.56x = 635,692,217.38
  5. Step 5: Solve for x
    x = 635,692,217.38/11,682.56
  6. Step 6: Final answer
    x = 54,413.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.