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Finding the Third Proportional to 4.38 and 9.49

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Solution

The third proportional to 4.38 and 9.49 is: 20.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.38 : 9.49 = 9.49 : x
  2. Step 2: Convert to fraction form
    4.38/9.49 = 9.49/x
  3. Step 3: Cross multiply
    4.38x = 9.49 × 9.49
  4. Step 4: Simplify right side
    4.38x = 90.10
  5. Step 5: Solve for x
    x = 90.10/4.38
  6. Step 6: Final answer
    x = 20.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.