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Finding the Third Proportional to 6.51 and 13.71

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Solution

The third proportional to 6.51 and 13.71 is: 28.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.51 : 13.71 = 13.71 : x
  2. Step 2: Convert to fraction form
    6.51/13.71 = 13.71/x
  3. Step 3: Cross multiply
    6.51x = 13.71 × 13.71
  4. Step 4: Simplify right side
    6.51x = 187.99
  5. Step 5: Solve for x
    x = 187.99/6.51
  6. Step 6: Final answer
    x = 28.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.