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Finding the Third Proportional to 6.07 and 12.86

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Solution

The third proportional to 6.07 and 12.86 is: 27.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.07 : 12.86 = 12.86 : x
  2. Step 2: Convert to fraction form
    6.07/12.86 = 12.86/x
  3. Step 3: Cross multiply
    6.07x = 12.86 × 12.86
  4. Step 4: Simplify right side
    6.07x = 165.26
  5. Step 5: Solve for x
    x = 165.26/6.07
  6. Step 6: Final answer
    x = 27.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.