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Finding the Third Proportional to 33,642 and 50,841

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Solution

The third proportional to 33,642 and 50,841 is: 76,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642 : 50,841 = 50,841 : x
  2. Step 2: Convert to fraction form
    33,642/50,841 = 50,841/x
  3. Step 3: Cross multiply
    33,642x = 50,841 × 50,841
  4. Step 4: Simplify right side
    33,642x = 2,584,807,281
  5. Step 5: Solve for x
    x = 2,584,807,281/33,642
  6. Step 6: Final answer
    x = 76,832.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.