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Finding the Third Proportional to 3.24 and 4.21

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Solution

The third proportional to 3.24 and 4.21 is: 5.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.24 : 4.21 = 4.21 : x
  2. Step 2: Convert to fraction form
    3.24/4.21 = 4.21/x
  3. Step 3: Cross multiply
    3.24x = 4.21 × 4.21
  4. Step 4: Simplify right side
    3.24x = 17.68
  5. Step 5: Solve for x
    x = 17.68/3.24
  6. Step 6: Final answer
    x = 5.45

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.