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Finding the Third Proportional to 0.33 and 2.06

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Solution

The third proportional to 0.33 and 2.06 is: 12.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.33 : 2.06 = 2.06 : x
  2. Step 2: Convert to fraction form
    0.33/2.06 = 2.06/x
  3. Step 3: Cross multiply
    0.33x = 2.06 × 2.06
  4. Step 4: Simplify right side
    0.33x = 4.25
  5. Step 5: Solve for x
    x = 4.25/0.33
  6. Step 6: Final answer
    x = 12.96

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Why These Related Problems?

These problems maintain the same ratio (6.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.