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Finding the Third Proportional to 27,861 and 41,924

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Solution

The third proportional to 27,861 and 41,924 is: 63,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,861 : 41,924 = 41,924 : x
  2. Step 2: Convert to fraction form
    27,861/41,924 = 41,924/x
  3. Step 3: Cross multiply
    27,861x = 41,924 × 41,924
  4. Step 4: Simplify right side
    27,861x = 1,757,621,776
  5. Step 5: Solve for x
    x = 1,757,621,776/27,861
  6. Step 6: Final answer
    x = 63,085.38

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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.