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Finding the Third Proportional to 12.46 and 14.08

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Solution

The third proportional to 12.46 and 14.08 is: 15.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.46 : 14.08 = 14.08 : x
  2. Step 2: Convert to fraction form
    12.46/14.08 = 14.08/x
  3. Step 3: Cross multiply
    12.46x = 14.08 × 14.08
  4. Step 4: Simplify right side
    12.46x = 198.25
  5. Step 5: Solve for x
    x = 198.25/12.46
  6. Step 6: Final answer
    x = 15.91

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.