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Finding the Third Proportional to 33,694 and 52,853

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Solution

The third proportional to 33,694 and 52,853 is: 82,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,694 : 52,853 = 52,853 : x
  2. Step 2: Convert to fraction form
    33,694/52,853 = 52,853/x
  3. Step 3: Cross multiply
    33,694x = 52,853 × 52,853
  4. Step 4: Simplify right side
    33,694x = 2,793,439,609
  5. Step 5: Solve for x
    x = 2,793,439,609/33,694
  6. Step 6: Final answer
    x = 82,906.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.