Finding the Third Proportional to 21,208 and 31,450
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Solution
The third proportional to 21,208 and 31,450 is: 46,638.18
Step by Step Solution
- Step 1: Write the proportion equation
21,208 : 31,450 = 31,450 : x - Step 2: Convert to fraction form
21,208/31,450 = 31,450/x - Step 3: Cross multiply
21,208x = 31,450 × 31,450 - Step 4: Simplify right side
21,208x = 989,102,500 - Step 5: Solve for x
x = 989,102,500/21,208 - Step 6: Final answer
x = 46,638.18
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.