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Finding the Third Proportional to 14.26 and 30.82

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Solution

The third proportional to 14.26 and 30.82 is: 66.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.26 : 30.82 = 30.82 : x
  2. Step 2: Convert to fraction form
    14.26/30.82 = 30.82/x
  3. Step 3: Cross multiply
    14.26x = 30.82 × 30.82
  4. Step 4: Simplify right side
    14.26x = 950.13
  5. Step 5: Solve for x
    x = 950.13/14.26
  6. Step 6: Final answer
    x = 66.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.