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Finding the Third Proportional to 14.34 and 20.25

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Solution

The third proportional to 14.34 and 20.25 is: 28.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.34 : 20.25 = 20.25 : x
  2. Step 2: Convert to fraction form
    14.34/20.25 = 20.25/x
  3. Step 3: Cross multiply
    14.34x = 20.25 × 20.25
  4. Step 4: Simplify right side
    14.34x = 410.06
  5. Step 5: Solve for x
    x = 410.06/14.34
  6. Step 6: Final answer
    x = 28.59

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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.