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Finding the Third Proportional to 36,908 and 52,009

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Solution

The third proportional to 36,908 and 52,009 is: 73,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,908 : 52,009 = 52,009 : x
  2. Step 2: Convert to fraction form
    36,908/52,009 = 52,009/x
  3. Step 3: Cross multiply
    36,908x = 52,009 × 52,009
  4. Step 4: Simplify right side
    36,908x = 2,704,936,081
  5. Step 5: Solve for x
    x = 2,704,936,081/36,908
  6. Step 6: Final answer
    x = 73,288.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.