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Finding the Third Proportional to 4.31 and 6.69

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Solution

The third proportional to 4.31 and 6.69 is: 10.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.31 : 6.69 = 6.69 : x
  2. Step 2: Convert to fraction form
    4.31/6.69 = 6.69/x
  3. Step 3: Cross multiply
    4.31x = 6.69 × 6.69
  4. Step 4: Simplify right side
    4.31x = 44.72
  5. Step 5: Solve for x
    x = 44.72/4.31
  6. Step 6: Final answer
    x = 10.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.