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Finding the Third Proportional to 6.88 and 14.94

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Solution

The third proportional to 6.88 and 14.94 is: 32.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.88 : 14.94 = 14.94 : x
  2. Step 2: Convert to fraction form
    6.88/14.94 = 14.94/x
  3. Step 3: Cross multiply
    6.88x = 14.94 × 14.94
  4. Step 4: Simplify right side
    6.88x = 223.13
  5. Step 5: Solve for x
    x = 223.13/6.88
  6. Step 6: Final answer
    x = 32.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.