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Finding the Third Proportional to 2.09 and 5.06

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Solution

The third proportional to 2.09 and 5.06 is: 12.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.09 : 5.06 = 5.06 : x
  2. Step 2: Convert to fraction form
    2.09/5.06 = 5.06/x
  3. Step 3: Cross multiply
    2.09x = 5.06 × 5.06
  4. Step 4: Simplify right side
    2.09x = 25.62
  5. Step 5: Solve for x
    x = 25.62/2.09
  6. Step 6: Final answer
    x = 12.27

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.