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Finding the Third Proportional to 4.29 and 11.01

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Solution

The third proportional to 4.29 and 11.01 is: 28.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.29 : 11.01 = 11.01 : x
  2. Step 2: Convert to fraction form
    4.29/11.01 = 11.01/x
  3. Step 3: Cross multiply
    4.29x = 11.01 × 11.01
  4. Step 4: Simplify right side
    4.29x = 121.16
  5. Step 5: Solve for x
    x = 121.16/4.29
  6. Step 6: Final answer
    x = 28.22

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.