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Finding the Third Proportional to 11.02 and 14.26

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Solution

The third proportional to 11.02 and 14.26 is: 18.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.02 : 14.26 = 14.26 : x
  2. Step 2: Convert to fraction form
    11.02/14.26 = 14.26/x
  3. Step 3: Cross multiply
    11.02x = 14.26 × 14.26
  4. Step 4: Simplify right side
    11.02x = 203.40
  5. Step 5: Solve for x
    x = 203.40/11.02
  6. Step 6: Final answer
    x = 18.45

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.