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Finding the Third Proportional to 41,110.50 and 61,500.50

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Solution

The third proportional to 41,110.50 and 61,500.50 is: 92,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,110.50 : 61,500.50 = 61,500.50 : x
  2. Step 2: Convert to fraction form
    41,110.50/61,500.50 = 61,500.50/x
  3. Step 3: Cross multiply
    41,110.50x = 61,500.50 × 61,500.50
  4. Step 4: Simplify right side
    41,110.50x = 3,782,311,500.25
  5. Step 5: Solve for x
    x = 3,782,311,500.25/41,110.50
  6. Step 6: Final answer
    x = 92,003.54

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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.