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Finding the Third Proportional to 6.11 and 12.53

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Solution

The third proportional to 6.11 and 12.53 is: 25.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.11 : 12.53 = 12.53 : x
  2. Step 2: Convert to fraction form
    6.11/12.53 = 12.53/x
  3. Step 3: Cross multiply
    6.11x = 12.53 × 12.53
  4. Step 4: Simplify right side
    6.11x = 157.11
  5. Step 5: Solve for x
    x = 157.11/6.11
  6. Step 6: Final answer
    x = 25.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.