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Finding the Third Proportional to 37,583.25 and 55,144.50

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Solution

The third proportional to 37,583.25 and 55,144.50 is: 80,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,583.25 : 55,144.50 = 55,144.50 : x
  2. Step 2: Convert to fraction form
    37,583.25/55,144.50 = 55,144.50/x
  3. Step 3: Cross multiply
    37,583.25x = 55,144.50 × 55,144.50
  4. Step 4: Simplify right side
    37,583.25x = 3,040,915,880.25
  5. Step 5: Solve for x
    x = 3,040,915,880.25/37,583.25
  6. Step 6: Final answer
    x = 80,911.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.