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Finding the Third Proportional to 19,422 and 30,801

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Solution

The third proportional to 19,422 and 30,801 is: 48,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,422 : 30,801 = 30,801 : x
  2. Step 2: Convert to fraction form
    19,422/30,801 = 30,801/x
  3. Step 3: Cross multiply
    19,422x = 30,801 × 30,801
  4. Step 4: Simplify right side
    19,422x = 948,701,601
  5. Step 5: Solve for x
    x = 948,701,601/19,422
  6. Step 6: Final answer
    x = 48,846.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.