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Finding the Third Proportional to 2.95 and 6.38

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Solution

The third proportional to 2.95 and 6.38 is: 13.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.95 : 6.38 = 6.38 : x
  2. Step 2: Convert to fraction form
    2.95/6.38 = 6.38/x
  3. Step 3: Cross multiply
    2.95x = 6.38 × 6.38
  4. Step 4: Simplify right side
    2.95x = 40.72
  5. Step 5: Solve for x
    x = 40.72/2.95
  6. Step 6: Final answer
    x = 13.79

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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.