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Finding the Third Proportional to 3.21 and 5.54

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Solution

The third proportional to 3.21 and 5.54 is: 9.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.21 : 5.54 = 5.54 : x
  2. Step 2: Convert to fraction form
    3.21/5.54 = 5.54/x
  3. Step 3: Cross multiply
    3.21x = 5.54 × 5.54
  4. Step 4: Simplify right side
    3.21x = 30.72
  5. Step 5: Solve for x
    x = 30.72/3.21
  6. Step 6: Final answer
    x = 9.57

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.