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Finding the Third Proportional to 33,962 and 51,672

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Solution

The third proportional to 33,962 and 51,672 is: 78,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,962 : 51,672 = 51,672 : x
  2. Step 2: Convert to fraction form
    33,962/51,672 = 51,672/x
  3. Step 3: Cross multiply
    33,962x = 51,672 × 51,672
  4. Step 4: Simplify right side
    33,962x = 2,669,995,584
  5. Step 5: Solve for x
    x = 2,669,995,584/33,962
  6. Step 6: Final answer
    x = 78,617.15

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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.