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Finding the Third Proportional to 6.18 and 13.46

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Solution

The third proportional to 6.18 and 13.46 is: 29.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.18 : 13.46 = 13.46 : x
  2. Step 2: Convert to fraction form
    6.18/13.46 = 13.46/x
  3. Step 3: Cross multiply
    6.18x = 13.46 × 13.46
  4. Step 4: Simplify right side
    6.18x = 181.14
  5. Step 5: Solve for x
    x = 181.14/6.18
  6. Step 6: Final answer
    x = 29.31

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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.