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Finding the Third Proportional to 8,947.34 and 18,874.27

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Solution

The third proportional to 8,947.34 and 18,874.27 is: 39,814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.34 : 18,874.27 = 18,874.27 : x
  2. Step 2: Convert to fraction form
    8,947.34/18,874.27 = 18,874.27/x
  3. Step 3: Cross multiply
    8,947.34x = 18,874.27 × 18,874.27
  4. Step 4: Simplify right side
    8,947.34x = 356,237,902.88
  5. Step 5: Solve for x
    x = 356,237,902.88/8,947.34
  6. Step 6: Final answer
    x = 39,814.97

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.