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Finding the Third Proportional to 33,014 and 72,592

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Solution

The third proportional to 33,014 and 72,592 is: 159,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,014 : 72,592 = 72,592 : x
  2. Step 2: Convert to fraction form
    33,014/72,592 = 72,592/x
  3. Step 3: Cross multiply
    33,014x = 72,592 × 72,592
  4. Step 4: Simplify right side
    33,014x = 5,269,598,464
  5. Step 5: Solve for x
    x = 5,269,598,464/33,014
  6. Step 6: Final answer
    x = 159,617.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.