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Finding the Third Proportional to 43.86 and 69.81

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Solution

The third proportional to 43.86 and 69.81 is: 111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.86 : 69.81 = 69.81 : x
  2. Step 2: Convert to fraction form
    43.86/69.81 = 69.81/x
  3. Step 3: Cross multiply
    43.86x = 69.81 × 69.81
  4. Step 4: Simplify right side
    43.86x = 4,873.79
  5. Step 5: Solve for x
    x = 4,873.79/43.86
  6. Step 6: Final answer
    x = 111.12

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.