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Finding the Third Proportional to 2.09 and 3.22

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Solution

The third proportional to 2.09 and 3.22 is: 4.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.09 : 3.22 = 3.22 : x
  2. Step 2: Convert to fraction form
    2.09/3.22 = 3.22/x
  3. Step 3: Cross multiply
    2.09x = 3.22 × 3.22
  4. Step 4: Simplify right side
    2.09x = 10.36
  5. Step 5: Solve for x
    x = 10.36/2.09
  6. Step 6: Final answer
    x = 4.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.