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Finding the Third Proportional to 33,910 and 52,504

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Solution

The third proportional to 33,910 and 52,504 is: 81,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,910 : 52,504 = 52,504 : x
  2. Step 2: Convert to fraction form
    33,910/52,504 = 52,504/x
  3. Step 3: Cross multiply
    33,910x = 52,504 × 52,504
  4. Step 4: Simplify right side
    33,910x = 2,756,670,016
  5. Step 5: Solve for x
    x = 2,756,670,016/33,910
  6. Step 6: Final answer
    x = 81,293.72

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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.