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Finding the Third Proportional to 40.34 and 86.85

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Solution

The third proportional to 40.34 and 86.85 is: 186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.34 : 86.85 = 86.85 : x
  2. Step 2: Convert to fraction form
    40.34/86.85 = 86.85/x
  3. Step 3: Cross multiply
    40.34x = 86.85 × 86.85
  4. Step 4: Simplify right side
    40.34x = 7,543.53
  5. Step 5: Solve for x
    x = 7,543.53/40.34
  6. Step 6: Final answer
    x = 186.99

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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.