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Finding the Third Proportional to 14.26 and 19.93

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Solution

The third proportional to 14.26 and 19.93 is: 27.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.26 : 19.93 = 19.93 : x
  2. Step 2: Convert to fraction form
    14.26/19.93 = 19.93/x
  3. Step 3: Cross multiply
    14.26x = 19.93 × 19.93
  4. Step 4: Simplify right side
    14.26x = 397.31
  5. Step 5: Solve for x
    x = 397.31/14.26
  6. Step 6: Final answer
    x = 27.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.