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Finding the Third Proportional to 14.25 and 21.33

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Solution

The third proportional to 14.25 and 21.33 is: 31.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.25 : 21.33 = 21.33 : x
  2. Step 2: Convert to fraction form
    14.25/21.33 = 21.33/x
  3. Step 3: Cross multiply
    14.25x = 21.33 × 21.33
  4. Step 4: Simplify right side
    14.25x = 454.89
  5. Step 5: Solve for x
    x = 454.89/14.25
  6. Step 6: Final answer
    x = 31.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.