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Finding the Third Proportional to 13,083 and 18,861

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Solution

The third proportional to 13,083 and 18,861 is: 27,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083 : 18,861 = 18,861 : x
  2. Step 2: Convert to fraction form
    13,083/18,861 = 18,861/x
  3. Step 3: Cross multiply
    13,083x = 18,861 × 18,861
  4. Step 4: Simplify right side
    13,083x = 355,737,321
  5. Step 5: Solve for x
    x = 355,737,321/13,083
  6. Step 6: Final answer
    x = 27,190.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.