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Finding the Third Proportional to 33,178 and 50,294

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Solution

The third proportional to 33,178 and 50,294 is: 76,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178 : 50,294 = 50,294 : x
  2. Step 2: Convert to fraction form
    33,178/50,294 = 50,294/x
  3. Step 3: Cross multiply
    33,178x = 50,294 × 50,294
  4. Step 4: Simplify right side
    33,178x = 2,529,486,436
  5. Step 5: Solve for x
    x = 2,529,486,436/33,178
  6. Step 6: Final answer
    x = 76,239.87

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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.