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Finding the Third Proportional to 2.12 and 5.02

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Solution

The third proportional to 2.12 and 5.02 is: 11.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.12 : 5.02 = 5.02 : x
  2. Step 2: Convert to fraction form
    2.12/5.02 = 5.02/x
  3. Step 3: Cross multiply
    2.12x = 5.02 × 5.02
  4. Step 4: Simplify right side
    2.12x = 25.19
  5. Step 5: Solve for x
    x = 25.19/2.12
  6. Step 6: Final answer
    x = 11.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.