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Finding the Third Proportional to 5.02 and 11.85

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Solution

The third proportional to 5.02 and 11.85 is: 27.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.02 : 11.85 = 11.85 : x
  2. Step 2: Convert to fraction form
    5.02/11.85 = 11.85/x
  3. Step 3: Cross multiply
    5.02x = 11.85 × 11.85
  4. Step 4: Simplify right side
    5.02x = 140.31
  5. Step 5: Solve for x
    x = 140.31/5.02
  6. Step 6: Final answer
    x = 27.93

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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.