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Finding the Third Proportional to 6.94 and 13.10

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Solution

The third proportional to 6.94 and 13.10 is: 24.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.94 : 13.10 = 13.10 : x
  2. Step 2: Convert to fraction form
    6.94/13.10 = 13.10/x
  3. Step 3: Cross multiply
    6.94x = 13.10 × 13.10
  4. Step 4: Simplify right side
    6.94x = 171.62
  5. Step 5: Solve for x
    x = 171.62/6.94
  6. Step 6: Final answer
    x = 24.74

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.