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Finding the Third Proportional to 2.20 and 4.65

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Solution

The third proportional to 2.20 and 4.65 is: 9.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.20 : 4.65 = 4.65 : x
  2. Step 2: Convert to fraction form
    2.20/4.65 = 4.65/x
  3. Step 3: Cross multiply
    2.20x = 4.65 × 4.65
  4. Step 4: Simplify right side
    2.20x = 21.62
  5. Step 5: Solve for x
    x = 21.62/2.20
  6. Step 6: Final answer
    x = 9.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.