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Finding the Third Proportional to 31,174 and 48,400

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Solution

The third proportional to 31,174 and 48,400 is: 75,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174 : 48,400 = 48,400 : x
  2. Step 2: Convert to fraction form
    31,174/48,400 = 48,400/x
  3. Step 3: Cross multiply
    31,174x = 48,400 × 48,400
  4. Step 4: Simplify right side
    31,174x = 2,342,560,000
  5. Step 5: Solve for x
    x = 2,342,560,000/31,174
  6. Step 6: Final answer
    x = 75,144.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.