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Finding the Third Proportional to 4.09 and 4.82

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Solution

The third proportional to 4.09 and 4.82 is: 5.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.09 : 4.82 = 4.82 : x
  2. Step 2: Convert to fraction form
    4.09/4.82 = 4.82/x
  3. Step 3: Cross multiply
    4.09x = 4.82 × 4.82
  4. Step 4: Simplify right side
    4.09x = 23.20
  5. Step 5: Solve for x
    x = 23.20/4.09
  6. Step 6: Final answer
    x = 5.67

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.