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Finding the Third Proportional to 19,933 and 27,083

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Solution

The third proportional to 19,933 and 27,083 is: 36,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,933 : 27,083 = 27,083 : x
  2. Step 2: Convert to fraction form
    19,933/27,083 = 27,083/x
  3. Step 3: Cross multiply
    19,933x = 27,083 × 27,083
  4. Step 4: Simplify right side
    19,933x = 733,488,889
  5. Step 5: Solve for x
    x = 733,488,889/19,933
  6. Step 6: Final answer
    x = 36,797.72

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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.