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Finding the Third Proportional to 31,928 and 67,886

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Solution

The third proportional to 31,928 and 67,886 is: 144,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,928 : 67,886 = 67,886 : x
  2. Step 2: Convert to fraction form
    31,928/67,886 = 67,886/x
  3. Step 3: Cross multiply
    31,928x = 67,886 × 67,886
  4. Step 4: Simplify right side
    31,928x = 4,608,508,996
  5. Step 5: Solve for x
    x = 4,608,508,996/31,928
  6. Step 6: Final answer
    x = 144,340.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.