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Finding the Third Proportional to 14 and 19.75

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Solution

The third proportional to 14 and 19.75 is: 27.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14 : 19.75 = 19.75 : x
  2. Step 2: Convert to fraction form
    14/19.75 = 19.75/x
  3. Step 3: Cross multiply
    14x = 19.75 × 19.75
  4. Step 4: Simplify right side
    14x = 390.06
  5. Step 5: Solve for x
    x = 390.06/14
  6. Step 6: Final answer
    x = 27.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.