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Finding the Third Proportional to 4.23 and 9.11

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Solution

The third proportional to 4.23 and 9.11 is: 19.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.23 : 9.11 = 9.11 : x
  2. Step 2: Convert to fraction form
    4.23/9.11 = 9.11/x
  3. Step 3: Cross multiply
    4.23x = 9.11 × 9.11
  4. Step 4: Simplify right side
    4.23x = 83.04
  5. Step 5: Solve for x
    x = 83.04/4.23
  6. Step 6: Final answer
    x = 19.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.