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Finding the Third Proportional to 7.75 and 10.31

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Solution

The third proportional to 7.75 and 10.31 is: 13.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.75 : 10.31 = 10.31 : x
  2. Step 2: Convert to fraction form
    7.75/10.31 = 10.31/x
  3. Step 3: Cross multiply
    7.75x = 10.31 × 10.31
  4. Step 4: Simplify right side
    7.75x = 106.35
  5. Step 5: Solve for x
    x = 106.35/7.75
  6. Step 6: Final answer
    x = 13.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.