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Finding the Third Proportional to 8.81 and 20.25

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Solution

The third proportional to 8.81 and 20.25 is: 46.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.81 : 20.25 = 20.25 : x
  2. Step 2: Convert to fraction form
    8.81/20.25 = 20.25/x
  3. Step 3: Cross multiply
    8.81x = 20.25 × 20.25
  4. Step 4: Simplify right side
    8.81x = 410.06
  5. Step 5: Solve for x
    x = 410.06/8.81
  6. Step 6: Final answer
    x = 46.53

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.