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Finding the Third Proportional to 33,496 and 51,841

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Solution

The third proportional to 33,496 and 51,841 is: 80,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,496 : 51,841 = 51,841 : x
  2. Step 2: Convert to fraction form
    33,496/51,841 = 51,841/x
  3. Step 3: Cross multiply
    33,496x = 51,841 × 51,841
  4. Step 4: Simplify right side
    33,496x = 2,687,489,281
  5. Step 5: Solve for x
    x = 2,687,489,281/33,496
  6. Step 6: Final answer
    x = 80,233.14

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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.