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Finding the Third Proportional to 4.05 and 8.85

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Solution

The third proportional to 4.05 and 8.85 is: 19.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.05 : 8.85 = 8.85 : x
  2. Step 2: Convert to fraction form
    4.05/8.85 = 8.85/x
  3. Step 3: Cross multiply
    4.05x = 8.85 × 8.85
  4. Step 4: Simplify right side
    4.05x = 78.32
  5. Step 5: Solve for x
    x = 78.32/4.05
  6. Step 6: Final answer
    x = 19.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.