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Finding the Third Proportional to 39,299 and 84,874

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Solution

The third proportional to 39,299 and 84,874 is: 183,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,299 : 84,874 = 84,874 : x
  2. Step 2: Convert to fraction form
    39,299/84,874 = 84,874/x
  3. Step 3: Cross multiply
    39,299x = 84,874 × 84,874
  4. Step 4: Simplify right side
    39,299x = 7,203,595,876
  5. Step 5: Solve for x
    x = 7,203,595,876/39,299
  6. Step 6: Final answer
    x = 183,302.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.