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Finding the Third Proportional to 27,721 and 49,286

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Solution

The third proportional to 27,721 and 49,286 is: 87,627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,721 : 49,286 = 49,286 : x
  2. Step 2: Convert to fraction form
    27,721/49,286 = 49,286/x
  3. Step 3: Cross multiply
    27,721x = 49,286 × 49,286
  4. Step 4: Simplify right side
    27,721x = 2,429,109,796
  5. Step 5: Solve for x
    x = 2,429,109,796/27,721
  6. Step 6: Final answer
    x = 87,627.06

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.