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Finding the Third Proportional to 18,006 and 23,893

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Solution

The third proportional to 18,006 and 23,893 is: 31,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,006 : 23,893 = 23,893 : x
  2. Step 2: Convert to fraction form
    18,006/23,893 = 23,893/x
  3. Step 3: Cross multiply
    18,006x = 23,893 × 23,893
  4. Step 4: Simplify right side
    18,006x = 570,875,449
  5. Step 5: Solve for x
    x = 570,875,449/18,006
  6. Step 6: Final answer
    x = 31,704.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.