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Finding the Third Proportional to 33,751 and 51,949.50

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Solution

The third proportional to 33,751 and 51,949.50 is: 79,960.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,751 : 51,949.50 = 51,949.50 : x
  2. Step 2: Convert to fraction form
    33,751/51,949.50 = 51,949.50/x
  3. Step 3: Cross multiply
    33,751x = 51,949.50 × 51,949.50
  4. Step 4: Simplify right side
    33,751x = 2,698,750,550.25
  5. Step 5: Solve for x
    x = 2,698,750,550.25/33,751
  6. Step 6: Final answer
    x = 79,960.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.