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Finding the Third Proportional to 6.38 and 9.63

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Solution

The third proportional to 6.38 and 9.63 is: 14.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.38 : 9.63 = 9.63 : x
  2. Step 2: Convert to fraction form
    6.38/9.63 = 9.63/x
  3. Step 3: Cross multiply
    6.38x = 9.63 × 9.63
  4. Step 4: Simplify right side
    6.38x = 92.64
  5. Step 5: Solve for x
    x = 92.64/6.38
  6. Step 6: Final answer
    x = 14.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.