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Finding the Third Proportional to 33,912 and 51,562

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Solution

The third proportional to 33,912 and 51,562 is: 78,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,912 : 51,562 = 51,562 : x
  2. Step 2: Convert to fraction form
    33,912/51,562 = 51,562/x
  3. Step 3: Cross multiply
    33,912x = 51,562 × 51,562
  4. Step 4: Simplify right side
    33,912x = 2,658,639,844
  5. Step 5: Solve for x
    x = 2,658,639,844/33,912
  6. Step 6: Final answer
    x = 78,398.20

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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.