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Finding the Third Proportional to 6.41 and 9.55

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Solution

The third proportional to 6.41 and 9.55 is: 14.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.41 : 9.55 = 9.55 : x
  2. Step 2: Convert to fraction form
    6.41/9.55 = 9.55/x
  3. Step 3: Cross multiply
    6.41x = 9.55 × 9.55
  4. Step 4: Simplify right side
    6.41x = 91.21
  5. Step 5: Solve for x
    x = 91.21/6.41
  6. Step 6: Final answer
    x = 14.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.