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Finding the Third Proportional to 16,727 and 22,936.75

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Solution

The third proportional to 16,727 and 22,936.75 is: 31,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,727 : 22,936.75 = 22,936.75 : x
  2. Step 2: Convert to fraction form
    16,727/22,936.75 = 22,936.75/x
  3. Step 3: Cross multiply
    16,727x = 22,936.75 × 22,936.75
  4. Step 4: Simplify right side
    16,727x = 526,094,500.56
  5. Step 5: Solve for x
    x = 526,094,500.56/16,727
  6. Step 6: Final answer
    x = 31,451.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.