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Finding the Third Proportional to 33,092 and 50,418

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Solution

The third proportional to 33,092 and 50,418 is: 76,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,092 : 50,418 = 50,418 : x
  2. Step 2: Convert to fraction form
    33,092/50,418 = 50,418/x
  3. Step 3: Cross multiply
    33,092x = 50,418 × 50,418
  4. Step 4: Simplify right side
    33,092x = 2,541,974,724
  5. Step 5: Solve for x
    x = 2,541,974,724/33,092
  6. Step 6: Final answer
    x = 76,815.39

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.