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Finding the Third Proportional to 6.14 and 8.97

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Solution

The third proportional to 6.14 and 8.97 is: 13.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.14 : 8.97 = 8.97 : x
  2. Step 2: Convert to fraction form
    6.14/8.97 = 8.97/x
  3. Step 3: Cross multiply
    6.14x = 8.97 × 8.97
  4. Step 4: Simplify right side
    6.14x = 80.52
  5. Step 5: Solve for x
    x = 80.52/6.14
  6. Step 6: Final answer
    x = 13.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.