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Finding the Third Proportional to 23.88 and 43.81

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Solution

The third proportional to 23.88 and 43.81 is: 80.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.88 : 43.81 = 43.81 : x
  2. Step 2: Convert to fraction form
    23.88/43.81 = 43.81/x
  3. Step 3: Cross multiply
    23.88x = 43.81 × 43.81
  4. Step 4: Simplify right side
    23.88x = 1,919.54
  5. Step 5: Solve for x
    x = 1,919.54/23.88
  6. Step 6: Final answer
    x = 80.40

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.