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Finding the Third Proportional to 13.91 and 19.26

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Solution

The third proportional to 13.91 and 19.26 is: 26.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.91 : 19.26 = 19.26 : x
  2. Step 2: Convert to fraction form
    13.91/19.26 = 19.26/x
  3. Step 3: Cross multiply
    13.91x = 19.26 × 19.26
  4. Step 4: Simplify right side
    13.91x = 371.02
  5. Step 5: Solve for x
    x = 371.02/13.91
  6. Step 6: Final answer
    x = 26.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.