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Finding the Third Proportional to 0.40 and 2.20

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Solution

The third proportional to 0.40 and 2.20 is: 12.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.40 : 2.20 = 2.20 : x
  2. Step 2: Convert to fraction form
    0.40/2.20 = 2.20/x
  3. Step 3: Cross multiply
    0.40x = 2.20 × 2.20
  4. Step 4: Simplify right side
    0.40x = 4.85
  5. Step 5: Solve for x
    x = 4.85/0.40
  6. Step 6: Final answer
    x = 12.11

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Why These Related Problems?

These problems maintain the same ratio (5.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.