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Finding the Third Proportional to 13.53 and 19.22

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Solution

The third proportional to 13.53 and 19.22 is: 27.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.53 : 19.22 = 19.22 : x
  2. Step 2: Convert to fraction form
    13.53/19.22 = 19.22/x
  3. Step 3: Cross multiply
    13.53x = 19.22 × 19.22
  4. Step 4: Simplify right side
    13.53x = 369.47
  5. Step 5: Solve for x
    x = 369.47/13.53
  6. Step 6: Final answer
    x = 27.32

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.