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Finding the Third Proportional to 4.16 and 10.81

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Solution

The third proportional to 4.16 and 10.81 is: 28.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.16 : 10.81 = 10.81 : x
  2. Step 2: Convert to fraction form
    4.16/10.81 = 10.81/x
  3. Step 3: Cross multiply
    4.16x = 10.81 × 10.81
  4. Step 4: Simplify right side
    4.16x = 116.80
  5. Step 5: Solve for x
    x = 116.80/4.16
  6. Step 6: Final answer
    x = 28.07

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.