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Finding the Third Proportional to 27,257 and 41,021

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Solution

The third proportional to 27,257 and 41,021 is: 61,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,257 : 41,021 = 41,021 : x
  2. Step 2: Convert to fraction form
    27,257/41,021 = 41,021/x
  3. Step 3: Cross multiply
    27,257x = 41,021 × 41,021
  4. Step 4: Simplify right side
    27,257x = 1,682,722,441
  5. Step 5: Solve for x
    x = 1,682,722,441/27,257
  6. Step 6: Final answer
    x = 61,735.42

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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.