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Finding the Third Proportional to 19,923 and 27,072

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Solution

The third proportional to 19,923 and 27,072 is: 36,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,923 : 27,072 = 27,072 : x
  2. Step 2: Convert to fraction form
    19,923/27,072 = 27,072/x
  3. Step 3: Cross multiply
    19,923x = 27,072 × 27,072
  4. Step 4: Simplify right side
    19,923x = 732,893,184
  5. Step 5: Solve for x
    x = 732,893,184/19,923
  6. Step 6: Final answer
    x = 36,786.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.