Finding the Third Proportional to 21,146 and 31,474
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Solution
The third proportional to 21,146 and 31,474 is: 46,846.34
Step by Step Solution
- Step 1: Write the proportion equation
21,146 : 31,474 = 31,474 : x - Step 2: Convert to fraction form
21,146/31,474 = 31,474/x - Step 3: Cross multiply
21,146x = 31,474 × 31,474 - Step 4: Simplify right side
21,146x = 990,612,676 - Step 5: Solve for x
x = 990,612,676/21,146 - Step 6: Final answer
x = 46,846.34
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.