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Finding the Third Proportional to 12,180.94 and 18,222.47

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Solution

The third proportional to 12,180.94 and 18,222.47 is: 27,260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.94 : 18,222.47 = 18,222.47 : x
  2. Step 2: Convert to fraction form
    12,180.94/18,222.47 = 18,222.47/x
  3. Step 3: Cross multiply
    12,180.94x = 18,222.47 × 18,222.47
  4. Step 4: Simplify right side
    12,180.94x = 332,058,367.34
  5. Step 5: Solve for x
    x = 332,058,367.34/12,180.94
  6. Step 6: Final answer
    x = 27,260.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.