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Finding the Third Proportional to 33,234 and 50,715

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Solution

The third proportional to 33,234 and 50,715 is: 77,390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,234 : 50,715 = 50,715 : x
  2. Step 2: Convert to fraction form
    33,234/50,715 = 50,715/x
  3. Step 3: Cross multiply
    33,234x = 50,715 × 50,715
  4. Step 4: Simplify right side
    33,234x = 2,572,011,225
  5. Step 5: Solve for x
    x = 2,572,011,225/33,234
  6. Step 6: Final answer
    x = 77,390.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.