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Finding the Third Proportional to 15,299 and 33,874

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Solution

The third proportional to 15,299 and 33,874 is: 75,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,299 : 33,874 = 33,874 : x
  2. Step 2: Convert to fraction form
    15,299/33,874 = 33,874/x
  3. Step 3: Cross multiply
    15,299x = 33,874 × 33,874
  4. Step 4: Simplify right side
    15,299x = 1,147,447,876
  5. Step 5: Solve for x
    x = 1,147,447,876/15,299
  6. Step 6: Final answer
    x = 75,001.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.