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Finding the Third Proportional to 6.81 and 9.81

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Solution

The third proportional to 6.81 and 9.81 is: 14.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.81 : 9.81 = 9.81 : x
  2. Step 2: Convert to fraction form
    6.81/9.81 = 9.81/x
  3. Step 3: Cross multiply
    6.81x = 9.81 × 9.81
  4. Step 4: Simplify right side
    6.81x = 96.29
  5. Step 5: Solve for x
    x = 96.29/6.81
  6. Step 6: Final answer
    x = 14.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.