Finding the Third Proportional to 47,986 and 71,947
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Solution
The third proportional to 47,986 and 71,947 is: 107,872.52
Step by Step Solution
- Step 1: Write the proportion equation
47,986 : 71,947 = 71,947 : x - Step 2: Convert to fraction form
47,986/71,947 = 71,947/x - Step 3: Cross multiply
47,986x = 71,947 × 71,947 - Step 4: Simplify right side
47,986x = 5,176,370,809 - Step 5: Solve for x
x = 5,176,370,809/47,986 - Step 6: Final answer
x = 107,872.52
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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.