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Finding the Third Proportional to 4.06 and 8.97

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Solution

The third proportional to 4.06 and 8.97 is: 19.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.06 : 8.97 = 8.97 : x
  2. Step 2: Convert to fraction form
    4.06/8.97 = 8.97/x
  3. Step 3: Cross multiply
    4.06x = 8.97 × 8.97
  4. Step 4: Simplify right side
    4.06x = 80.44
  5. Step 5: Solve for x
    x = 80.44/4.06
  6. Step 6: Final answer
    x = 19.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.