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Finding the Third Proportional to 12,200 and 27,184

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Solution

The third proportional to 12,200 and 27,184 is: 60,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200 : 27,184 = 27,184 : x
  2. Step 2: Convert to fraction form
    12,200/27,184 = 27,184/x
  3. Step 3: Cross multiply
    12,200x = 27,184 × 27,184
  4. Step 4: Simplify right side
    12,200x = 738,969,856
  5. Step 5: Solve for x
    x = 738,969,856/12,200
  6. Step 6: Final answer
    x = 60,571.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.