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Finding the Third Proportional to 33,487 and 50,662

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Solution

The third proportional to 33,487 and 50,662 is: 76,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,487 : 50,662 = 50,662 : x
  2. Step 2: Convert to fraction form
    33,487/50,662 = 50,662/x
  3. Step 3: Cross multiply
    33,487x = 50,662 × 50,662
  4. Step 4: Simplify right side
    33,487x = 2,566,638,244
  5. Step 5: Solve for x
    x = 2,566,638,244/33,487
  6. Step 6: Final answer
    x = 76,645.81

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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.