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Finding the Third Proportional to 13.14 and 19.24

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Solution

The third proportional to 13.14 and 19.24 is: 28.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.14 : 19.24 = 19.24 : x
  2. Step 2: Convert to fraction form
    13.14/19.24 = 19.24/x
  3. Step 3: Cross multiply
    13.14x = 19.24 × 19.24
  4. Step 4: Simplify right side
    13.14x = 370.07
  5. Step 5: Solve for x
    x = 370.07/13.14
  6. Step 6: Final answer
    x = 28.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.