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Finding the Third Proportional to 36,282 and 55,504

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Solution

The third proportional to 36,282 and 55,504 is: 84,909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,282 : 55,504 = 55,504 : x
  2. Step 2: Convert to fraction form
    36,282/55,504 = 55,504/x
  3. Step 3: Cross multiply
    36,282x = 55,504 × 55,504
  4. Step 4: Simplify right side
    36,282x = 3,080,694,016
  5. Step 5: Solve for x
    x = 3,080,694,016/36,282
  6. Step 6: Final answer
    x = 84,909.71

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.