Finding the Third Proportional to 20,880 and 30,960
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Solution
The third proportional to 20,880 and 30,960 is: 45,906.21
Step by Step Solution
- Step 1: Write the proportion equation
20,880 : 30,960 = 30,960 : x - Step 2: Convert to fraction form
20,880/30,960 = 30,960/x - Step 3: Cross multiply
20,880x = 30,960 × 30,960 - Step 4: Simplify right side
20,880x = 958,521,600 - Step 5: Solve for x
x = 958,521,600/20,880 - Step 6: Final answer
x = 45,906.21
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.