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Finding the Third Proportional to 6.50 and 14.31

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Solution

The third proportional to 6.50 and 14.31 is: 31.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.50 : 14.31 = 14.31 : x
  2. Step 2: Convert to fraction form
    6.50/14.31 = 14.31/x
  3. Step 3: Cross multiply
    6.50x = 14.31 × 14.31
  4. Step 4: Simplify right side
    6.50x = 204.85
  5. Step 5: Solve for x
    x = 204.85/6.50
  6. Step 6: Final answer
    x = 31.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.