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Finding the Third Proportional to 8,108.50 and 17,467.50

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Solution

The third proportional to 8,108.50 and 17,467.50 is: 37,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.50 : 17,467.50 = 17,467.50 : x
  2. Step 2: Convert to fraction form
    8,108.50/17,467.50 = 17,467.50/x
  3. Step 3: Cross multiply
    8,108.50x = 17,467.50 × 17,467.50
  4. Step 4: Simplify right side
    8,108.50x = 305,113,556.25
  5. Step 5: Solve for x
    x = 305,113,556.25/8,108.50
  6. Step 6: Final answer
    x = 37,628.85

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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.