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Finding the Third Proportional to 36,982 and 55,410

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Solution

The third proportional to 36,982 and 55,410 is: 83,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,982 : 55,410 = 55,410 : x
  2. Step 2: Convert to fraction form
    36,982/55,410 = 55,410/x
  3. Step 3: Cross multiply
    36,982x = 55,410 × 55,410
  4. Step 4: Simplify right side
    36,982x = 3,070,268,100
  5. Step 5: Solve for x
    x = 3,070,268,100/36,982
  6. Step 6: Final answer
    x = 83,020.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.