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Finding the Third Proportional to 12.66 and 34.13

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Solution

The third proportional to 12.66 and 34.13 is: 92.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.66 : 34.13 = 34.13 : x
  2. Step 2: Convert to fraction form
    12.66/34.13 = 34.13/x
  3. Step 3: Cross multiply
    12.66x = 34.13 × 34.13
  4. Step 4: Simplify right side
    12.66x = 1,165.02
  5. Step 5: Solve for x
    x = 1,165.02/12.66
  6. Step 6: Final answer
    x = 92.05

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.