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Finding the Third Proportional to 18,676 and 39,083

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Solution

The third proportional to 18,676 and 39,083 is: 81,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,676 : 39,083 = 39,083 : x
  2. Step 2: Convert to fraction form
    18,676/39,083 = 39,083/x
  3. Step 3: Cross multiply
    18,676x = 39,083 × 39,083
  4. Step 4: Simplify right side
    18,676x = 1,527,480,889
  5. Step 5: Solve for x
    x = 1,527,480,889/18,676
  6. Step 6: Final answer
    x = 81,788.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.