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Finding the Third Proportional to 6.87 and 14.10

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Solution

The third proportional to 6.87 and 14.10 is: 28.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.87 : 14.10 = 14.10 : x
  2. Step 2: Convert to fraction form
    6.87/14.10 = 14.10/x
  3. Step 3: Cross multiply
    6.87x = 14.10 × 14.10
  4. Step 4: Simplify right side
    6.87x = 198.84
  5. Step 5: Solve for x
    x = 198.84/6.87
  6. Step 6: Final answer
    x = 28.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.