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Finding the Third Proportional to 19,731 and 30,667

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Solution

The third proportional to 19,731 and 30,667 is: 47,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731 : 30,667 = 30,667 : x
  2. Step 2: Convert to fraction form
    19,731/30,667 = 30,667/x
  3. Step 3: Cross multiply
    19,731x = 30,667 × 30,667
  4. Step 4: Simplify right side
    19,731x = 940,464,889
  5. Step 5: Solve for x
    x = 940,464,889/19,731
  6. Step 6: Final answer
    x = 47,664.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.