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Finding the Third Proportional to 31,372 and 67,631

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Solution

The third proportional to 31,372 and 67,631 is: 145,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,372 : 67,631 = 67,631 : x
  2. Step 2: Convert to fraction form
    31,372/67,631 = 67,631/x
  3. Step 3: Cross multiply
    31,372x = 67,631 × 67,631
  4. Step 4: Simplify right side
    31,372x = 4,573,952,161
  5. Step 5: Solve for x
    x = 4,573,952,161/31,372
  6. Step 6: Final answer
    x = 145,797.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.