Finding the Third Proportional to 30,704 and 46,947
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Solution
The third proportional to 30,704 and 46,947 is: 71,782.86
Step by Step Solution
- Step 1: Write the proportion equation
30,704 : 46,947 = 46,947 : x - Step 2: Convert to fraction form
30,704/46,947 = 46,947/x - Step 3: Cross multiply
30,704x = 46,947 × 46,947 - Step 4: Simplify right side
30,704x = 2,204,020,809 - Step 5: Solve for x
x = 2,204,020,809/30,704 - Step 6: Final answer
x = 71,782.86
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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.