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Finding the Third Proportional to 27,744 and 41,616

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Solution

The third proportional to 27,744 and 41,616 is: 62,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744 : 41,616 = 41,616 : x
  2. Step 2: Convert to fraction form
    27,744/41,616 = 41,616/x
  3. Step 3: Cross multiply
    27,744x = 41,616 × 41,616
  4. Step 4: Simplify right side
    27,744x = 1,731,891,456
  5. Step 5: Solve for x
    x = 1,731,891,456/27,744
  6. Step 6: Final answer
    x = 62,424

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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.