Finding the Third Proportional to 20,831 and 32,264
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Solution
The third proportional to 20,831 and 32,264 is: 49,971.95
Step by Step Solution
- Step 1: Write the proportion equation
20,831 : 32,264 = 32,264 : x - Step 2: Convert to fraction form
20,831/32,264 = 32,264/x - Step 3: Cross multiply
20,831x = 32,264 × 32,264 - Step 4: Simplify right side
20,831x = 1,040,965,696 - Step 5: Solve for x
x = 1,040,965,696/20,831 - Step 6: Final answer
x = 49,971.95
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.