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Finding the Third Proportional to 33,858 and 51,542

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Solution

The third proportional to 33,858 and 51,542 is: 78,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,858 : 51,542 = 51,542 : x
  2. Step 2: Convert to fraction form
    33,858/51,542 = 51,542/x
  3. Step 3: Cross multiply
    33,858x = 51,542 × 51,542
  4. Step 4: Simplify right side
    33,858x = 2,656,577,764
  5. Step 5: Solve for x
    x = 2,656,577,764/33,858
  6. Step 6: Final answer
    x = 78,462.34

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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.