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Finding the Third Proportional to 8,105.70 and 17,461.83

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Solution

The third proportional to 8,105.70 and 17,461.83 is: 37,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.70 : 17,461.83 = 17,461.83 : x
  2. Step 2: Convert to fraction form
    8,105.70/17,461.83 = 17,461.83/x
  3. Step 3: Cross multiply
    8,105.70x = 17,461.83 × 17,461.83
  4. Step 4: Simplify right side
    8,105.70x = 304,915,441.47
  5. Step 5: Solve for x
    x = 304,915,441.47/8,105.70
  6. Step 6: Final answer
    x = 37,617.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.