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Finding the Third Proportional to 39,586 and 52,874

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Solution

The third proportional to 39,586 and 52,874 is: 70,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,586 : 52,874 = 52,874 : x
  2. Step 2: Convert to fraction form
    39,586/52,874 = 52,874/x
  3. Step 3: Cross multiply
    39,586x = 52,874 × 52,874
  4. Step 4: Simplify right side
    39,586x = 2,795,659,876
  5. Step 5: Solve for x
    x = 2,795,659,876/39,586
  6. Step 6: Final answer
    x = 70,622.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.