Finding the Third Proportional to 20,340 and 47,520
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Solution
The third proportional to 20,340 and 47,520 is: 111,020.18
Step by Step Solution
- Step 1: Write the proportion equation
20,340 : 47,520 = 47,520 : x - Step 2: Convert to fraction form
20,340/47,520 = 47,520/x - Step 3: Cross multiply
20,340x = 47,520 × 47,520 - Step 4: Simplify right side
20,340x = 2,258,150,400 - Step 5: Solve for x
x = 2,258,150,400/20,340 - Step 6: Final answer
x = 111,020.18
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.