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Finding the Third Proportional to 21.66 and 47.81

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Solution

The third proportional to 21.66 and 47.81 is: 105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.66 : 47.81 = 47.81 : x
  2. Step 2: Convert to fraction form
    21.66/47.81 = 47.81/x
  3. Step 3: Cross multiply
    21.66x = 47.81 × 47.81
  4. Step 4: Simplify right side
    21.66x = 2,286.04
  5. Step 5: Solve for x
    x = 2,286.04/21.66
  6. Step 6: Final answer
    x = 105.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.