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Finding the Third Proportional to 2.23 and 3.84

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Solution

The third proportional to 2.23 and 3.84 is: 6.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.23 : 3.84 = 3.84 : x
  2. Step 2: Convert to fraction form
    2.23/3.84 = 3.84/x
  3. Step 3: Cross multiply
    2.23x = 3.84 × 3.84
  4. Step 4: Simplify right side
    2.23x = 14.71
  5. Step 5: Solve for x
    x = 14.71/2.23
  6. Step 6: Final answer
    x = 6.58

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.