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Finding the Third Proportional to 27,144 and 39,744

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Solution

The third proportional to 27,144 and 39,744 is: 58,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144 : 39,744 = 39,744 : x
  2. Step 2: Convert to fraction form
    27,144/39,744 = 39,744/x
  3. Step 3: Cross multiply
    27,144x = 39,744 × 39,744
  4. Step 4: Simplify right side
    27,144x = 1,579,585,536
  5. Step 5: Solve for x
    x = 1,579,585,536/27,144
  6. Step 6: Final answer
    x = 58,192.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.