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Finding the Third Proportional to 33,062 and 49,665

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Solution

The third proportional to 33,062 and 49,665 is: 74,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,062 : 49,665 = 49,665 : x
  2. Step 2: Convert to fraction form
    33,062/49,665 = 49,665/x
  3. Step 3: Cross multiply
    33,062x = 49,665 × 49,665
  4. Step 4: Simplify right side
    33,062x = 2,466,612,225
  5. Step 5: Solve for x
    x = 2,466,612,225/33,062
  6. Step 6: Final answer
    x = 74,605.66

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