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Finding the Third Proportional to 36,508 and 50,864

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Solution

The third proportional to 36,508 and 50,864 is: 70,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,508 : 50,864 = 50,864 : x
  2. Step 2: Convert to fraction form
    36,508/50,864 = 50,864/x
  3. Step 3: Cross multiply
    36,508x = 50,864 × 50,864
  4. Step 4: Simplify right side
    36,508x = 2,587,146,496
  5. Step 5: Solve for x
    x = 2,587,146,496/36,508
  6. Step 6: Final answer
    x = 70,865.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.