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Finding the Third Proportional to 31,676.38 and 68,227.88

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Solution

The third proportional to 31,676.38 and 68,227.88 is: 146,956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676.38 : 68,227.88 = 68,227.88 : x
  2. Step 2: Convert to fraction form
    31,676.38/68,227.88 = 68,227.88/x
  3. Step 3: Cross multiply
    31,676.38x = 68,227.88 × 68,227.88
  4. Step 4: Simplify right side
    31,676.38x = 4,655,042,927.02
  5. Step 5: Solve for x
    x = 4,655,042,927.02/31,676.38
  6. Step 6: Final answer
    x = 146,956.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.