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Finding the Third Proportional to 1.10 and 2.83

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Solution

The third proportional to 1.10 and 2.83 is: 7.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.10 : 2.83 = 2.83 : x
  2. Step 2: Convert to fraction form
    1.10/2.83 = 2.83/x
  3. Step 3: Cross multiply
    1.10x = 2.83 × 2.83
  4. Step 4: Simplify right side
    1.10x = 7.99
  5. Step 5: Solve for x
    x = 7.99/1.10
  6. Step 6: Final answer
    x = 7.25

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.