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Finding the Third Proportional to 2.51 and 3.85

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Solution

The third proportional to 2.51 and 3.85 is: 5.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.51 : 3.85 = 3.85 : x
  2. Step 2: Convert to fraction form
    2.51/3.85 = 3.85/x
  3. Step 3: Cross multiply
    2.51x = 3.85 × 3.85
  4. Step 4: Simplify right side
    2.51x = 14.83
  5. Step 5: Solve for x
    x = 14.83/2.51
  6. Step 6: Final answer
    x = 5.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.