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Finding the Third Proportional to 6.13 and 13.62

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Solution

The third proportional to 6.13 and 13.62 is: 30.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.13 : 13.62 = 13.62 : x
  2. Step 2: Convert to fraction form
    6.13/13.62 = 13.62/x
  3. Step 3: Cross multiply
    6.13x = 13.62 × 13.62
  4. Step 4: Simplify right side
    6.13x = 185.60
  5. Step 5: Solve for x
    x = 185.60/6.13
  6. Step 6: Final answer
    x = 30.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.