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Finding the Third Proportional to 33,042 and 71,700

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Solution

The third proportional to 33,042 and 71,700 is: 155,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,042 : 71,700 = 71,700 : x
  2. Step 2: Convert to fraction form
    33,042/71,700 = 71,700/x
  3. Step 3: Cross multiply
    33,042x = 71,700 × 71,700
  4. Step 4: Simplify right side
    33,042x = 5,140,890,000
  5. Step 5: Solve for x
    x = 5,140,890,000/33,042
  6. Step 6: Final answer
    x = 155,586.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.