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Finding the Third Proportional to 6.10 and 12.90

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Solution

The third proportional to 6.10 and 12.90 is: 27.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.10 : 12.90 = 12.90 : x
  2. Step 2: Convert to fraction form
    6.10/12.90 = 12.90/x
  3. Step 3: Cross multiply
    6.10x = 12.90 × 12.90
  4. Step 4: Simplify right side
    6.10x = 166.49
  5. Step 5: Solve for x
    x = 166.49/6.10
  6. Step 6: Final answer
    x = 27.29

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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.