Finding the Third Proportional to 21,530 and 31,443
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Solution
The third proportional to 21,530 and 31,443 is: 45,920.22
Step by Step Solution
- Step 1: Write the proportion equation
21,530 : 31,443 = 31,443 : x - Step 2: Convert to fraction form
21,530/31,443 = 31,443/x - Step 3: Cross multiply
21,530x = 31,443 × 31,443 - Step 4: Simplify right side
21,530x = 988,662,249 - Step 5: Solve for x
x = 988,662,249/21,530 - Step 6: Final answer
x = 45,920.22
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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.