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Finding the Third Proportional to 12.66 and 19.62

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Solution

The third proportional to 12.66 and 19.62 is: 30.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.66 : 19.62 = 19.62 : x
  2. Step 2: Convert to fraction form
    12.66/19.62 = 19.62/x
  3. Step 3: Cross multiply
    12.66x = 19.62 × 19.62
  4. Step 4: Simplify right side
    12.66x = 384.83
  5. Step 5: Solve for x
    x = 384.83/12.66
  6. Step 6: Final answer
    x = 30.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.