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Finding the Third Proportional to 27,969 and 54,521

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Solution

The third proportional to 27,969 and 54,521 is: 106,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969 : 54,521 = 54,521 : x
  2. Step 2: Convert to fraction form
    27,969/54,521 = 54,521/x
  3. Step 3: Cross multiply
    27,969x = 54,521 × 54,521
  4. Step 4: Simplify right side
    27,969x = 2,972,539,441
  5. Step 5: Solve for x
    x = 2,972,539,441/27,969
  6. Step 6: Final answer
    x = 106,279.79

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.