Finding the Third Proportional to 32,240 and 49,314
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Solution
The third proportional to 32,240 and 49,314 is: 75,430.23
Step by Step Solution
- Step 1: Write the proportion equation
32,240 : 49,314 = 49,314 : x - Step 2: Convert to fraction form
32,240/49,314 = 49,314/x - Step 3: Cross multiply
32,240x = 49,314 × 49,314 - Step 4: Simplify right side
32,240x = 2,431,870,596 - Step 5: Solve for x
x = 2,431,870,596/32,240 - Step 6: Final answer
x = 75,430.23
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.