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Finding the Third Proportional to 6.12 and 14.46

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Solution

The third proportional to 6.12 and 14.46 is: 34.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.12 : 14.46 = 14.46 : x
  2. Step 2: Convert to fraction form
    6.12/14.46 = 14.46/x
  3. Step 3: Cross multiply
    6.12x = 14.46 × 14.46
  4. Step 4: Simplify right side
    6.12x = 209.04
  5. Step 5: Solve for x
    x = 209.04/6.12
  6. Step 6: Final answer
    x = 34.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.