Finding the Third Proportional to 37,942.50 and 57,036
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Solution
The third proportional to 37,942.50 and 57,036 is: 85,737.77
Step by Step Solution
- Step 1: Write the proportion equation
37,942.50 : 57,036 = 57,036 : x - Step 2: Convert to fraction form
37,942.50/57,036 = 57,036/x - Step 3: Cross multiply
37,942.50x = 57,036 × 57,036 - Step 4: Simplify right side
37,942.50x = 3,253,105,296 - Step 5: Solve for x
x = 3,253,105,296/37,942.50 - Step 6: Final answer
x = 85,737.77
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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.