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Finding the Third Proportional to 16.75 and 27.47

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Solution

The third proportional to 16.75 and 27.47 is: 45.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.75 : 27.47 = 27.47 : x
  2. Step 2: Convert to fraction form
    16.75/27.47 = 27.47/x
  3. Step 3: Cross multiply
    16.75x = 27.47 × 27.47
  4. Step 4: Simplify right side
    16.75x = 754.53
  5. Step 5: Solve for x
    x = 754.53/16.75
  6. Step 6: Final answer
    x = 45.05

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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.