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Finding the Third Proportional to 2.32 and 4.85

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Solution

The third proportional to 2.32 and 4.85 is: 10.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.32 : 4.85 = 4.85 : x
  2. Step 2: Convert to fraction form
    2.32/4.85 = 4.85/x
  3. Step 3: Cross multiply
    2.32x = 4.85 × 4.85
  4. Step 4: Simplify right side
    2.32x = 23.54
  5. Step 5: Solve for x
    x = 23.54/2.32
  6. Step 6: Final answer
    x = 10.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.