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Finding the Third Proportional to 33,469 and 51,823

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Solution

The third proportional to 33,469 and 51,823 is: 80,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,469 : 51,823 = 51,823 : x
  2. Step 2: Convert to fraction form
    33,469/51,823 = 51,823/x
  3. Step 3: Cross multiply
    33,469x = 51,823 × 51,823
  4. Step 4: Simplify right side
    33,469x = 2,685,623,329
  5. Step 5: Solve for x
    x = 2,685,623,329/33,469
  6. Step 6: Final answer
    x = 80,242.11

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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.