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Finding the Third Proportional to 27,838 and 41,757

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Solution

The third proportional to 27,838 and 41,757 is: 62,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838 : 41,757 = 41,757 : x
  2. Step 2: Convert to fraction form
    27,838/41,757 = 41,757/x
  3. Step 3: Cross multiply
    27,838x = 41,757 × 41,757
  4. Step 4: Simplify right side
    27,838x = 1,743,647,049
  5. Step 5: Solve for x
    x = 1,743,647,049/27,838
  6. Step 6: Final answer
    x = 62,635.50

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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.