Finding the Third Proportional to 12,832 and 20,084
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Solution
The third proportional to 12,832 and 20,084 is: 31,434.47
Step by Step Solution
- Step 1: Write the proportion equation
12,832 : 20,084 = 20,084 : x - Step 2: Convert to fraction form
12,832/20,084 = 20,084/x - Step 3: Cross multiply
12,832x = 20,084 × 20,084 - Step 4: Simplify right side
12,832x = 403,367,056 - Step 5: Solve for x
x = 403,367,056/12,832 - Step 6: Final answer
x = 31,434.47
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.