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Finding the Third Proportional to 2.09 and 3.83

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Solution

The third proportional to 2.09 and 3.83 is: 7.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.09 : 3.83 = 3.83 : x
  2. Step 2: Convert to fraction form
    2.09/3.83 = 3.83/x
  3. Step 3: Cross multiply
    2.09x = 3.83 × 3.83
  4. Step 4: Simplify right side
    2.09x = 14.64
  5. Step 5: Solve for x
    x = 14.64/2.09
  6. Step 6: Final answer
    x = 7.02

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.