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Finding the Third Proportional to 2.02 and 5.18

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Solution

The third proportional to 2.02 and 5.18 is: 13.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.02 : 5.18 = 5.18 : x
  2. Step 2: Convert to fraction form
    2.02/5.18 = 5.18/x
  3. Step 3: Cross multiply
    2.02x = 5.18 × 5.18
  4. Step 4: Simplify right side
    2.02x = 26.84
  5. Step 5: Solve for x
    x = 26.84/2.02
  6. Step 6: Final answer
    x = 13.31

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.