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Finding the Third Proportional to 33,666 and 50,291

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Solution

The third proportional to 33,666 and 50,291 is: 75,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,666 : 50,291 = 50,291 : x
  2. Step 2: Convert to fraction form
    33,666/50,291 = 50,291/x
  3. Step 3: Cross multiply
    33,666x = 50,291 × 50,291
  4. Step 4: Simplify right side
    33,666x = 2,529,184,681
  5. Step 5: Solve for x
    x = 2,529,184,681/33,666
  6. Step 6: Final answer
    x = 75,125.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.