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Finding the Third Proportional to 9.81 and 13.76

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Solution

The third proportional to 9.81 and 13.76 is: 19.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.81 : 13.76 = 13.76 : x
  2. Step 2: Convert to fraction form
    9.81/13.76 = 13.76/x
  3. Step 3: Cross multiply
    9.81x = 13.76 × 13.76
  4. Step 4: Simplify right side
    9.81x = 189.44
  5. Step 5: Solve for x
    x = 189.44/9.81
  6. Step 6: Final answer
    x = 19.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.