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Finding the Third Proportional to 15,869 and 33,844

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Solution

The third proportional to 15,869 and 33,844 is: 72,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,869 : 33,844 = 33,844 : x
  2. Step 2: Convert to fraction form
    15,869/33,844 = 33,844/x
  3. Step 3: Cross multiply
    15,869x = 33,844 × 33,844
  4. Step 4: Simplify right side
    15,869x = 1,145,416,336
  5. Step 5: Solve for x
    x = 1,145,416,336/15,869
  6. Step 6: Final answer
    x = 72,179.49

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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.