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Finding the Third Proportional to 11,808.50 and 27,793.25

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Solution

The third proportional to 11,808.50 and 27,793.25 is: 65,415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.50 : 27,793.25 = 27,793.25 : x
  2. Step 2: Convert to fraction form
    11,808.50/27,793.25 = 27,793.25/x
  3. Step 3: Cross multiply
    11,808.50x = 27,793.25 × 27,793.25
  4. Step 4: Simplify right side
    11,808.50x = 772,464,745.56
  5. Step 5: Solve for x
    x = 772,464,745.56/11,808.50
  6. Step 6: Final answer
    x = 65,415.99

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.