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Finding the Third Proportional to 8,119.41 and 16,883.44

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Solution

The third proportional to 8,119.41 and 16,883.44 is: 35,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.41 : 16,883.44 = 16,883.44 : x
  2. Step 2: Convert to fraction form
    8,119.41/16,883.44 = 16,883.44/x
  3. Step 3: Cross multiply
    8,119.41x = 16,883.44 × 16,883.44
  4. Step 4: Simplify right side
    8,119.41x = 285,050,461.82
  5. Step 5: Solve for x
    x = 285,050,461.82/8,119.41
  6. Step 6: Final answer
    x = 35,107.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.