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Finding the Third Proportional to 33,900 and 51,544

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Solution

The third proportional to 33,900 and 51,544 is: 78,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,900 : 51,544 = 51,544 : x
  2. Step 2: Convert to fraction form
    33,900/51,544 = 51,544/x
  3. Step 3: Cross multiply
    33,900x = 51,544 × 51,544
  4. Step 4: Simplify right side
    33,900x = 2,656,783,936
  5. Step 5: Solve for x
    x = 2,656,783,936/33,900
  6. Step 6: Final answer
    x = 78,371.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.