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Finding the Third Proportional to 27,783 and 59,211

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Solution

The third proportional to 27,783 and 59,211 is: 126,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783 : 59,211 = 59,211 : x
  2. Step 2: Convert to fraction form
    27,783/59,211 = 59,211/x
  3. Step 3: Cross multiply
    27,783x = 59,211 × 59,211
  4. Step 4: Simplify right side
    27,783x = 3,505,942,521
  5. Step 5: Solve for x
    x = 3,505,942,521/27,783
  6. Step 6: Final answer
    x = 126,190.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.