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Finding the Third Proportional to 14.48 and 19.27

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Solution

The third proportional to 14.48 and 19.27 is: 25.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.48 : 19.27 = 19.27 : x
  2. Step 2: Convert to fraction form
    14.48/19.27 = 19.27/x
  3. Step 3: Cross multiply
    14.48x = 19.27 × 19.27
  4. Step 4: Simplify right side
    14.48x = 371.16
  5. Step 5: Solve for x
    x = 371.16/14.48
  6. Step 6: Final answer
    x = 25.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.