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Finding the Third Proportional to 2.62 and 6.87

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Solution

The third proportional to 2.62 and 6.87 is: 18.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.62 : 6.87 = 6.87 : x
  2. Step 2: Convert to fraction form
    2.62/6.87 = 6.87/x
  3. Step 3: Cross multiply
    2.62x = 6.87 × 6.87
  4. Step 4: Simplify right side
    2.62x = 47.18
  5. Step 5: Solve for x
    x = 47.18/2.62
  6. Step 6: Final answer
    x = 18.04

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.