Finding the Third Proportional to 50,538 and 73,965
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Solution
The third proportional to 50,538 and 73,965 is: 108,251.64
Step by Step Solution
- Step 1: Write the proportion equation
50,538 : 73,965 = 73,965 : x - Step 2: Convert to fraction form
50,538/73,965 = 73,965/x - Step 3: Cross multiply
50,538x = 73,965 × 73,965 - Step 4: Simplify right side
50,538x = 5,470,821,225 - Step 5: Solve for x
x = 5,470,821,225/50,538 - Step 6: Final answer
x = 108,251.64
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.