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Finding the Third Proportional to 27,869 and 62,832

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Solution

The third proportional to 27,869 and 62,832 is: 141,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,869 : 62,832 = 62,832 : x
  2. Step 2: Convert to fraction form
    27,869/62,832 = 62,832/x
  3. Step 3: Cross multiply
    27,869x = 62,832 × 62,832
  4. Step 4: Simplify right side
    27,869x = 3,947,860,224
  5. Step 5: Solve for x
    x = 3,947,860,224/27,869
  6. Step 6: Final answer
    x = 141,657.76

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.