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Finding the Third Proportional to 6.62 and 14.51

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Solution

The third proportional to 6.62 and 14.51 is: 31.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.62 : 14.51 = 14.51 : x
  2. Step 2: Convert to fraction form
    6.62/14.51 = 14.51/x
  3. Step 3: Cross multiply
    6.62x = 14.51 × 14.51
  4. Step 4: Simplify right side
    6.62x = 210.68
  5. Step 5: Solve for x
    x = 210.68/6.62
  6. Step 6: Final answer
    x = 31.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.