Finding the Third Proportional to 21,008 and 31,512
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Solution
The third proportional to 21,008 and 31,512 is: 47,268
Step by Step Solution
- Step 1: Write the proportion equation
21,008 : 31,512 = 31,512 : x - Step 2: Convert to fraction form
21,008/31,512 = 31,512/x - Step 3: Cross multiply
21,008x = 31,512 × 31,512 - Step 4: Simplify right side
21,008x = 993,006,144 - Step 5: Solve for x
x = 993,006,144/21,008 - Step 6: Final answer
x = 47,268
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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.