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Finding the Third Proportional to 36,997 and 57,974

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Solution

The third proportional to 36,997 and 57,974 is: 90,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,997 : 57,974 = 57,974 : x
  2. Step 2: Convert to fraction form
    36,997/57,974 = 57,974/x
  3. Step 3: Cross multiply
    36,997x = 57,974 × 57,974
  4. Step 4: Simplify right side
    36,997x = 3,360,984,676
  5. Step 5: Solve for x
    x = 3,360,984,676/36,997
  6. Step 6: Final answer
    x = 90,844.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.