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Finding the Third Proportional to 27,992 and 39,144

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Solution

The third proportional to 27,992 and 39,144 is: 54,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992 : 39,144 = 39,144 : x
  2. Step 2: Convert to fraction form
    27,992/39,144 = 39,144/x
  3. Step 3: Cross multiply
    27,992x = 39,144 × 39,144
  4. Step 4: Simplify right side
    27,992x = 1,532,252,736
  5. Step 5: Solve for x
    x = 1,532,252,736/27,992
  6. Step 6: Final answer
    x = 54,738.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.