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Finding the Third Proportional to 12,408.75 and 27,272.25

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Solution

The third proportional to 12,408.75 and 27,272.25 is: 59,939.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.75 : 27,272.25 = 27,272.25 : x
  2. Step 2: Convert to fraction form
    12,408.75/27,272.25 = 27,272.25/x
  3. Step 3: Cross multiply
    12,408.75x = 27,272.25 × 27,272.25
  4. Step 4: Simplify right side
    12,408.75x = 743,775,620.06
  5. Step 5: Solve for x
    x = 743,775,620.06/12,408.75
  6. Step 6: Final answer
    x = 59,939.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.