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Finding the Third Proportional to 5.85 and 16.09

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Solution

The third proportional to 5.85 and 16.09 is: 44.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.85 : 16.09 = 16.09 : x
  2. Step 2: Convert to fraction form
    5.85/16.09 = 16.09/x
  3. Step 3: Cross multiply
    5.85x = 16.09 × 16.09
  4. Step 4: Simplify right side
    5.85x = 258.96
  5. Step 5: Solve for x
    x = 258.96/5.85
  6. Step 6: Final answer
    x = 44.25

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.