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Finding the Third Proportional to 36,987 and 52,891

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Solution

The third proportional to 36,987 and 52,891 is: 75,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,987 : 52,891 = 52,891 : x
  2. Step 2: Convert to fraction form
    36,987/52,891 = 52,891/x
  3. Step 3: Cross multiply
    36,987x = 52,891 × 52,891
  4. Step 4: Simplify right side
    36,987x = 2,797,457,881
  5. Step 5: Solve for x
    x = 2,797,457,881/36,987
  6. Step 6: Final answer
    x = 75,633.54

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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.