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Finding the Third Proportional to 2,137.50 and 3,212.44

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Solution

The third proportional to 2,137.50 and 3,212.44 is: 4,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.50 : 3,212.44 = 3,212.44 : x
  2. Step 2: Convert to fraction form
    2,137.50/3,212.44 = 3,212.44/x
  3. Step 3: Cross multiply
    2,137.50x = 3,212.44 × 3,212.44
  4. Step 4: Simplify right side
    2,137.50x = 10,319,754.69
  5. Step 5: Solve for x
    x = 10,319,754.69/2,137.50
  6. Step 6: Final answer
    x = 4,827.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.