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Finding the Third Proportional to 17.26 and 22.07

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Solution

The third proportional to 17.26 and 22.07 is: 28.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.26 : 22.07 = 22.07 : x
  2. Step 2: Convert to fraction form
    17.26/22.07 = 22.07/x
  3. Step 3: Cross multiply
    17.26x = 22.07 × 22.07
  4. Step 4: Simplify right side
    17.26x = 487.06
  5. Step 5: Solve for x
    x = 487.06/17.26
  6. Step 6: Final answer
    x = 28.21

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.