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Finding the Third Proportional to 16.50 and 27.09

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Solution

The third proportional to 16.50 and 27.09 is: 44.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.50 : 27.09 = 27.09 : x
  2. Step 2: Convert to fraction form
    16.50/27.09 = 27.09/x
  3. Step 3: Cross multiply
    16.50x = 27.09 × 27.09
  4. Step 4: Simplify right side
    16.50x = 734.07
  5. Step 5: Solve for x
    x = 734.07/16.50
  6. Step 6: Final answer
    x = 44.49

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.