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Finding the Third Proportional to 6.88 and 14.19

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Solution

The third proportional to 6.88 and 14.19 is: 29.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.88 : 14.19 = 14.19 : x
  2. Step 2: Convert to fraction form
    6.88/14.19 = 14.19/x
  3. Step 3: Cross multiply
    6.88x = 14.19 × 14.19
  4. Step 4: Simplify right side
    6.88x = 201.29
  5. Step 5: Solve for x
    x = 201.29/6.88
  6. Step 6: Final answer
    x = 29.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.