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Finding the Third Proportional to 33,471 and 51,827

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Solution

The third proportional to 33,471 and 51,827 is: 80,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,471 : 51,827 = 51,827 : x
  2. Step 2: Convert to fraction form
    33,471/51,827 = 51,827/x
  3. Step 3: Cross multiply
    33,471x = 51,827 × 51,827
  4. Step 4: Simplify right side
    33,471x = 2,686,037,929
  5. Step 5: Solve for x
    x = 2,686,037,929/33,471
  6. Step 6: Final answer
    x = 80,249.71

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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.