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Finding the Third Proportional to 7,993.50 and 17,573

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Solution

The third proportional to 7,993.50 and 17,573 is: 38,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.50 : 17,573 = 17,573 : x
  2. Step 2: Convert to fraction form
    7,993.50/17,573 = 17,573/x
  3. Step 3: Cross multiply
    7,993.50x = 17,573 × 17,573
  4. Step 4: Simplify right side
    7,993.50x = 308,810,329
  5. Step 5: Solve for x
    x = 308,810,329/7,993.50
  6. Step 6: Final answer
    x = 38,632.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.