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Finding the Third Proportional to 6.71 and 14.43

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Solution

The third proportional to 6.71 and 14.43 is: 31.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.71 : 14.43 = 14.43 : x
  2. Step 2: Convert to fraction form
    6.71/14.43 = 14.43/x
  3. Step 3: Cross multiply
    6.71x = 14.43 × 14.43
  4. Step 4: Simplify right side
    6.71x = 208.13
  5. Step 5: Solve for x
    x = 208.13/6.71
  6. Step 6: Final answer
    x = 31.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.