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Finding the Third Proportional to 36,772 and 54,884

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Solution

The third proportional to 36,772 and 54,884 is: 81,917.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,772 : 54,884 = 54,884 : x
  2. Step 2: Convert to fraction form
    36,772/54,884 = 54,884/x
  3. Step 3: Cross multiply
    36,772x = 54,884 × 54,884
  4. Step 4: Simplify right side
    36,772x = 3,012,253,456
  5. Step 5: Solve for x
    x = 3,012,253,456/36,772
  6. Step 6: Final answer
    x = 81,917.04

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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.