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Finding the Third Proportional to 4.22 and 6.43

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Solution

The third proportional to 4.22 and 6.43 is: 9.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.22 : 6.43 = 6.43 : x
  2. Step 2: Convert to fraction form
    4.22/6.43 = 6.43/x
  3. Step 3: Cross multiply
    4.22x = 6.43 × 6.43
  4. Step 4: Simplify right side
    4.22x = 41.39
  5. Step 5: Solve for x
    x = 41.39/4.22
  6. Step 6: Final answer
    x = 9.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.