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Finding the Third Proportional to 12.94 and 30.66

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Solution

The third proportional to 12.94 and 30.66 is: 72.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.94 : 30.66 = 30.66 : x
  2. Step 2: Convert to fraction form
    12.94/30.66 = 30.66/x
  3. Step 3: Cross multiply
    12.94x = 30.66 × 30.66
  4. Step 4: Simplify right side
    12.94x = 939.81
  5. Step 5: Solve for x
    x = 939.81/12.94
  6. Step 6: Final answer
    x = 72.64

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.