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Finding the Third Proportional to 6.10 and 13.16

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Solution

The third proportional to 6.10 and 13.16 is: 28.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.10 : 13.16 = 13.16 : x
  2. Step 2: Convert to fraction form
    6.10/13.16 = 13.16/x
  3. Step 3: Cross multiply
    6.10x = 13.16 × 13.16
  4. Step 4: Simplify right side
    6.10x = 173.11
  5. Step 5: Solve for x
    x = 173.11/6.10
  6. Step 6: Final answer
    x = 28.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.