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Finding the Third Proportional to 36,831 and 57,132

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Solution

The third proportional to 36,831 and 57,132 is: 88,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,831 : 57,132 = 57,132 : x
  2. Step 2: Convert to fraction form
    36,831/57,132 = 57,132/x
  3. Step 3: Cross multiply
    36,831x = 57,132 × 57,132
  4. Step 4: Simplify right side
    36,831x = 3,264,065,424
  5. Step 5: Solve for x
    x = 3,264,065,424/36,831
  6. Step 6: Final answer
    x = 88,622.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.