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Finding the Third Proportional to 12.12 and 16.30

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Solution

The third proportional to 12.12 and 16.30 is: 21.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.12 : 16.30 = 16.30 : x
  2. Step 2: Convert to fraction form
    12.12/16.30 = 16.30/x
  3. Step 3: Cross multiply
    12.12x = 16.30 × 16.30
  4. Step 4: Simplify right side
    12.12x = 265.68
  5. Step 5: Solve for x
    x = 265.68/12.12
  6. Step 6: Final answer
    x = 21.92

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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.