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Finding the Third Proportional to 4.81 and 8.18

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Solution

The third proportional to 4.81 and 8.18 is: 13.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.81 : 8.18 = 8.18 : x
  2. Step 2: Convert to fraction form
    4.81/8.18 = 8.18/x
  3. Step 3: Cross multiply
    4.81x = 8.18 × 8.18
  4. Step 4: Simplify right side
    4.81x = 66.89
  5. Step 5: Solve for x
    x = 66.89/4.81
  6. Step 6: Final answer
    x = 13.90

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.