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Finding the Third Proportional to 4.22 and 4.85

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Solution

The third proportional to 4.22 and 4.85 is: 5.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.22 : 4.85 = 4.85 : x
  2. Step 2: Convert to fraction form
    4.22/4.85 = 4.85/x
  3. Step 3: Cross multiply
    4.22x = 4.85 × 4.85
  4. Step 4: Simplify right side
    4.22x = 23.52
  5. Step 5: Solve for x
    x = 23.52/4.22
  6. Step 6: Final answer
    x = 5.57

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.