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Finding the Third Proportional to 1.82 and 3.63

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Solution

The third proportional to 1.82 and 3.63 is: 7.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.82 : 3.63 = 3.63 : x
  2. Step 2: Convert to fraction form
    1.82/3.63 = 3.63/x
  3. Step 3: Cross multiply
    1.82x = 3.63 × 3.63
  4. Step 4: Simplify right side
    1.82x = 13.21
  5. Step 5: Solve for x
    x = 13.21/1.82
  6. Step 6: Final answer
    x = 7.27

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.