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Finding the Third Proportional to 27,724 and 41,586

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Solution

The third proportional to 27,724 and 41,586 is: 62,379

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724 : 41,586 = 41,586 : x
  2. Step 2: Convert to fraction form
    27,724/41,586 = 41,586/x
  3. Step 3: Cross multiply
    27,724x = 41,586 × 41,586
  4. Step 4: Simplify right side
    27,724x = 1,729,395,396
  5. Step 5: Solve for x
    x = 1,729,395,396/27,724
  6. Step 6: Final answer
    x = 62,379

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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.