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Finding the Third Proportional to 33,827 and 52,374

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Solution

The third proportional to 33,827 and 52,374 is: 81,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,827 : 52,374 = 52,374 : x
  2. Step 2: Convert to fraction form
    33,827/52,374 = 52,374/x
  3. Step 3: Cross multiply
    33,827x = 52,374 × 52,374
  4. Step 4: Simplify right side
    33,827x = 2,743,035,876
  5. Step 5: Solve for x
    x = 2,743,035,876/33,827
  6. Step 6: Final answer
    x = 81,090.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.