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Finding the Third Proportional to 40.19 and 86.74

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Solution

The third proportional to 40.19 and 86.74 is: 187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.19 : 86.74 = 86.74 : x
  2. Step 2: Convert to fraction form
    40.19/86.74 = 86.74/x
  3. Step 3: Cross multiply
    40.19x = 86.74 × 86.74
  4. Step 4: Simplify right side
    40.19x = 7,524.55
  5. Step 5: Solve for x
    x = 7,524.55/40.19
  6. Step 6: Final answer
    x = 187.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.