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Finding the Third Proportional to 2.02 and 4.19

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Solution

The third proportional to 2.02 and 4.19 is: 8.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.02 : 4.19 = 4.19 : x
  2. Step 2: Convert to fraction form
    2.02/4.19 = 4.19/x
  3. Step 3: Cross multiply
    2.02x = 4.19 × 4.19
  4. Step 4: Simplify right side
    2.02x = 17.56
  5. Step 5: Solve for x
    x = 17.56/2.02
  6. Step 6: Final answer
    x = 8.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.