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Finding the Third Proportional to 1.59 and 3.21

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Solution

The third proportional to 1.59 and 3.21 is: 6.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.59 : 3.21 = 3.21 : x
  2. Step 2: Convert to fraction form
    1.59/3.21 = 3.21/x
  3. Step 3: Cross multiply
    1.59x = 3.21 × 3.21
  4. Step 4: Simplify right side
    1.59x = 10.30
  5. Step 5: Solve for x
    x = 10.30/1.59
  6. Step 6: Final answer
    x = 6.46

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.