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Finding the Third Proportional to 2.20 and 5.30

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Solution

The third proportional to 2.20 and 5.30 is: 12.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.20 : 5.30 = 5.30 : x
  2. Step 2: Convert to fraction form
    2.20/5.30 = 5.30/x
  3. Step 3: Cross multiply
    2.20x = 5.30 × 5.30
  4. Step 4: Simplify right side
    2.20x = 28.06
  5. Step 5: Solve for x
    x = 28.06/2.20
  6. Step 6: Final answer
    x = 12.74

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.