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Finding the Third Proportional to 18,059 and 27,144

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Solution

The third proportional to 18,059 and 27,144 is: 40,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,059 : 27,144 = 27,144 : x
  2. Step 2: Convert to fraction form
    18,059/27,144 = 27,144/x
  3. Step 3: Cross multiply
    18,059x = 27,144 × 27,144
  4. Step 4: Simplify right side
    18,059x = 736,796,736
  5. Step 5: Solve for x
    x = 736,796,736/18,059
  6. Step 6: Final answer
    x = 40,799.42

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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.