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Finding the Third Proportional to 4.11 and 8.99

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Solution

The third proportional to 4.11 and 8.99 is: 19.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.11 : 8.99 = 8.99 : x
  2. Step 2: Convert to fraction form
    4.11/8.99 = 8.99/x
  3. Step 3: Cross multiply
    4.11x = 8.99 × 8.99
  4. Step 4: Simplify right side
    4.11x = 80.78
  5. Step 5: Solve for x
    x = 80.78/4.11
  6. Step 6: Final answer
    x = 19.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.