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Finding the Third Proportional to 4.88 and 9.22

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Solution

The third proportional to 4.88 and 9.22 is: 17.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.88 : 9.22 = 9.22 : x
  2. Step 2: Convert to fraction form
    4.88/9.22 = 9.22/x
  3. Step 3: Cross multiply
    4.88x = 9.22 × 9.22
  4. Step 4: Simplify right side
    4.88x = 85.01
  5. Step 5: Solve for x
    x = 85.01/4.88
  6. Step 6: Final answer
    x = 17.42

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.