Finding the Third Proportional to 21,716 and 31,804
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Solution
The third proportional to 21,716 and 31,804 is: 46,578.30
Step by Step Solution
- Step 1: Write the proportion equation
21,716 : 31,804 = 31,804 : x - Step 2: Convert to fraction form
21,716/31,804 = 31,804/x - Step 3: Cross multiply
21,716x = 31,804 × 31,804 - Step 4: Simplify right side
21,716x = 1,011,494,416 - Step 5: Solve for x
x = 1,011,494,416/21,716 - Step 6: Final answer
x = 46,578.30
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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.