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Finding the Third Proportional to 40.31 and 86.81

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Solution

The third proportional to 40.31 and 86.81 is: 186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.31 : 86.81 = 86.81 : x
  2. Step 2: Convert to fraction form
    40.31/86.81 = 86.81/x
  3. Step 3: Cross multiply
    40.31x = 86.81 × 86.81
  4. Step 4: Simplify right side
    40.31x = 7,536.41
  5. Step 5: Solve for x
    x = 7,536.41/40.31
  6. Step 6: Final answer
    x = 186.95

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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.