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Finding the Third Proportional to 36,942 and 55,116

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Solution

The third proportional to 36,942 and 55,116 is: 82,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,942 : 55,116 = 55,116 : x
  2. Step 2: Convert to fraction form
    36,942/55,116 = 55,116/x
  3. Step 3: Cross multiply
    36,942x = 55,116 × 55,116
  4. Step 4: Simplify right side
    36,942x = 3,037,773,456
  5. Step 5: Solve for x
    x = 3,037,773,456/36,942
  6. Step 6: Final answer
    x = 82,230.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.