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Finding the Third Proportional to 2.83 and 5.97

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Solution

The third proportional to 2.83 and 5.97 is: 12.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.83 : 5.97 = 5.97 : x
  2. Step 2: Convert to fraction form
    2.83/5.97 = 5.97/x
  3. Step 3: Cross multiply
    2.83x = 5.97 × 5.97
  4. Step 4: Simplify right side
    2.83x = 35.63
  5. Step 5: Solve for x
    x = 35.63/2.83
  6. Step 6: Final answer
    x = 12.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.