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Finding the Third Proportional to 27,686 and 41,521

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Solution

The third proportional to 27,686 and 41,521 is: 62,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686 : 41,521 = 41,521 : x
  2. Step 2: Convert to fraction form
    27,686/41,521 = 41,521/x
  3. Step 3: Cross multiply
    27,686x = 41,521 × 41,521
  4. Step 4: Simplify right side
    27,686x = 1,723,993,441
  5. Step 5: Solve for x
    x = 1,723,993,441/27,686
  6. Step 6: Final answer
    x = 62,269.50

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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.