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Finding the Third Proportional to 33,928 and 51,896

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Solution

The third proportional to 33,928 and 51,896 is: 79,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,928 : 51,896 = 51,896 : x
  2. Step 2: Convert to fraction form
    33,928/51,896 = 51,896/x
  3. Step 3: Cross multiply
    33,928x = 51,896 × 51,896
  4. Step 4: Simplify right side
    33,928x = 2,693,194,816
  5. Step 5: Solve for x
    x = 2,693,194,816/33,928
  6. Step 6: Final answer
    x = 79,379.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.