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Finding the Third Proportional to 2.02 and 4.27

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Solution

The third proportional to 2.02 and 4.27 is: 9.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.02 : 4.27 = 4.27 : x
  2. Step 2: Convert to fraction form
    2.02/4.27 = 4.27/x
  3. Step 3: Cross multiply
    2.02x = 4.27 × 4.27
  4. Step 4: Simplify right side
    2.02x = 18.20
  5. Step 5: Solve for x
    x = 18.20/2.02
  6. Step 6: Final answer
    x = 9.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.