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Finding the Third Proportional to 2.09 and 3.25

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Solution

The third proportional to 2.09 and 3.25 is: 5.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.09 : 3.25 = 3.25 : x
  2. Step 2: Convert to fraction form
    2.09/3.25 = 3.25/x
  3. Step 3: Cross multiply
    2.09x = 3.25 × 3.25
  4. Step 4: Simplify right side
    2.09x = 10.56
  5. Step 5: Solve for x
    x = 10.56/2.09
  6. Step 6: Final answer
    x = 5.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.