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Finding the Third Proportional to 2.71 and 6.42

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Solution

The third proportional to 2.71 and 6.42 is: 15.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.71 : 6.42 = 6.42 : x
  2. Step 2: Convert to fraction form
    2.71/6.42 = 6.42/x
  3. Step 3: Cross multiply
    2.71x = 6.42 × 6.42
  4. Step 4: Simplify right side
    2.71x = 41.24
  5. Step 5: Solve for x
    x = 41.24/2.71
  6. Step 6: Final answer
    x = 15.23

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.