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Finding the Third Proportional to 12.02 and 16.14

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Solution

The third proportional to 12.02 and 16.14 is: 21.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.02 : 16.14 = 16.14 : x
  2. Step 2: Convert to fraction form
    12.02/16.14 = 16.14/x
  3. Step 3: Cross multiply
    12.02x = 16.14 × 16.14
  4. Step 4: Simplify right side
    12.02x = 260.39
  5. Step 5: Solve for x
    x = 260.39/12.02
  6. Step 6: Final answer
    x = 21.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.