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Finding the Third Proportional to 6.41 and 14.00

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Solution

The third proportional to 6.41 and 14.00 is: 30.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.41 : 14.00 = 14.00 : x
  2. Step 2: Convert to fraction form
    6.41/14.00 = 14.00/x
  3. Step 3: Cross multiply
    6.41x = 14.00 × 14.00
  4. Step 4: Simplify right side
    6.41x = 196.03
  5. Step 5: Solve for x
    x = 196.03/6.41
  6. Step 6: Final answer
    x = 30.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.