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Finding the Third Proportional to 36,519 and 52,186

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Solution

The third proportional to 36,519 and 52,186 is: 74,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,519 : 52,186 = 52,186 : x
  2. Step 2: Convert to fraction form
    36,519/52,186 = 52,186/x
  3. Step 3: Cross multiply
    36,519x = 52,186 × 52,186
  4. Step 4: Simplify right side
    36,519x = 2,723,378,596
  5. Step 5: Solve for x
    x = 2,723,378,596/36,519
  6. Step 6: Final answer
    x = 74,574.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.