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Finding the Third Proportional to 33,554 and 50,415

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Solution

The third proportional to 33,554 and 50,415 is: 75,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,554 : 50,415 = 50,415 : x
  2. Step 2: Convert to fraction form
    33,554/50,415 = 50,415/x
  3. Step 3: Cross multiply
    33,554x = 50,415 × 50,415
  4. Step 4: Simplify right side
    33,554x = 2,541,672,225
  5. Step 5: Solve for x
    x = 2,541,672,225/33,554
  6. Step 6: Final answer
    x = 75,748.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.