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Finding the Third Proportional to 3,747.50 and 8,173

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Solution

The third proportional to 3,747.50 and 8,173 is: 17,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.50 : 8,173 = 8,173 : x
  2. Step 2: Convert to fraction form
    3,747.50/8,173 = 8,173/x
  3. Step 3: Cross multiply
    3,747.50x = 8,173 × 8,173
  4. Step 4: Simplify right side
    3,747.50x = 66,797,929
  5. Step 5: Solve for x
    x = 66,797,929/3,747.50
  6. Step 6: Final answer
    x = 17,824.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.