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Finding the Third Proportional to 14.06 and 30.66

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Solution

The third proportional to 14.06 and 30.66 is: 66.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.06 : 30.66 = 30.66 : x
  2. Step 2: Convert to fraction form
    14.06/30.66 = 30.66/x
  3. Step 3: Cross multiply
    14.06x = 30.66 × 30.66
  4. Step 4: Simplify right side
    14.06x = 939.81
  5. Step 5: Solve for x
    x = 939.81/14.06
  6. Step 6: Final answer
    x = 66.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.