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Finding the Third Proportional to 13.56 and 19.28

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Solution

The third proportional to 13.56 and 19.28 is: 27.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.56 : 19.28 = 19.28 : x
  2. Step 2: Convert to fraction form
    13.56/19.28 = 19.28/x
  3. Step 3: Cross multiply
    13.56x = 19.28 × 19.28
  4. Step 4: Simplify right side
    13.56x = 371.77
  5. Step 5: Solve for x
    x = 371.77/13.56
  6. Step 6: Final answer
    x = 27.41

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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.