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Finding the Third Proportional to 3.26 and 8.37

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Solution

The third proportional to 3.26 and 8.37 is: 21.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.26 : 8.37 = 8.37 : x
  2. Step 2: Convert to fraction form
    3.26/8.37 = 8.37/x
  3. Step 3: Cross multiply
    3.26x = 8.37 × 8.37
  4. Step 4: Simplify right side
    3.26x = 70.03
  5. Step 5: Solve for x
    x = 70.03/3.26
  6. Step 6: Final answer
    x = 21.46

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.