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Finding the Third Proportional to 31,991 and 67,673

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Solution

The third proportional to 31,991 and 67,673 is: 143,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991 : 67,673 = 67,673 : x
  2. Step 2: Convert to fraction form
    31,991/67,673 = 67,673/x
  3. Step 3: Cross multiply
    31,991x = 67,673 × 67,673
  4. Step 4: Simplify right side
    31,991x = 4,579,634,929
  5. Step 5: Solve for x
    x = 4,579,634,929/31,991
  6. Step 6: Final answer
    x = 143,153.85

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.