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Finding the Third Proportional to 33,936 and 51,783

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Solution

The third proportional to 33,936 and 51,783 is: 79,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,936 : 51,783 = 51,783 : x
  2. Step 2: Convert to fraction form
    33,936/51,783 = 51,783/x
  3. Step 3: Cross multiply
    33,936x = 51,783 × 51,783
  4. Step 4: Simplify right side
    33,936x = 2,681,479,089
  5. Step 5: Solve for x
    x = 2,681,479,089/33,936
  6. Step 6: Final answer
    x = 79,015.77

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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.