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Finding the Third Proportional to 33,470 and 51,825

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Solution

The third proportional to 33,470 and 51,825 is: 80,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,470 : 51,825 = 51,825 : x
  2. Step 2: Convert to fraction form
    33,470/51,825 = 51,825/x
  3. Step 3: Cross multiply
    33,470x = 51,825 × 51,825
  4. Step 4: Simplify right side
    33,470x = 2,685,830,625
  5. Step 5: Solve for x
    x = 2,685,830,625/33,470
  6. Step 6: Final answer
    x = 80,245.91

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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.