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Finding the Third Proportional to 12.79 and 30.82

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Solution

The third proportional to 12.79 and 30.82 is: 74.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.79 : 30.82 = 30.82 : x
  2. Step 2: Convert to fraction form
    12.79/30.82 = 30.82/x
  3. Step 3: Cross multiply
    12.79x = 30.82 × 30.82
  4. Step 4: Simplify right side
    12.79x = 950.13
  5. Step 5: Solve for x
    x = 950.13/12.79
  6. Step 6: Final answer
    x = 74.31

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.