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Finding the Third Proportional to 31,227 and 67,635

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Solution

The third proportional to 31,227 and 67,635 is: 146,491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,227 : 67,635 = 67,635 : x
  2. Step 2: Convert to fraction form
    31,227/67,635 = 67,635/x
  3. Step 3: Cross multiply
    31,227x = 67,635 × 67,635
  4. Step 4: Simplify right side
    31,227x = 4,574,493,225
  5. Step 5: Solve for x
    x = 4,574,493,225/31,227
  6. Step 6: Final answer
    x = 146,491.60

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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.