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Finding the Third Proportional to 37,975.50 and 50,400

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Solution

The third proportional to 37,975.50 and 50,400 is: 66,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,975.50 : 50,400 = 50,400 : x
  2. Step 2: Convert to fraction form
    37,975.50/50,400 = 50,400/x
  3. Step 3: Cross multiply
    37,975.50x = 50,400 × 50,400
  4. Step 4: Simplify right side
    37,975.50x = 2,540,160,000
  5. Step 5: Solve for x
    x = 2,540,160,000/37,975.50
  6. Step 6: Final answer
    x = 66,889.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.