Finding the Third Proportional to 49,442 and 76,619
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Solution
The third proportional to 49,442 and 76,619 is: 118,734.50
Step by Step Solution
- Step 1: Write the proportion equation
49,442 : 76,619 = 76,619 : x - Step 2: Convert to fraction form
49,442/76,619 = 76,619/x - Step 3: Cross multiply
49,442x = 76,619 × 76,619 - Step 4: Simplify right side
49,442x = 5,870,471,161 - Step 5: Solve for x
x = 5,870,471,161/49,442 - Step 6: Final answer
x = 118,734.50
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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.