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Finding the Third Proportional to 6.08 and 12.54

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Solution

The third proportional to 6.08 and 12.54 is: 25.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.08 : 12.54 = 12.54 : x
  2. Step 2: Convert to fraction form
    6.08/12.54 = 12.54/x
  3. Step 3: Cross multiply
    6.08x = 12.54 × 12.54
  4. Step 4: Simplify right side
    6.08x = 157.35
  5. Step 5: Solve for x
    x = 157.35/6.08
  6. Step 6: Final answer
    x = 25.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.