Finding the Third Proportional to 20,220 and 27,425
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Solution
The third proportional to 20,220 and 27,425 is: 37,197.36
Step by Step Solution
- Step 1: Write the proportion equation
20,220 : 27,425 = 27,425 : x - Step 2: Convert to fraction form
20,220/27,425 = 27,425/x - Step 3: Cross multiply
20,220x = 27,425 × 27,425 - Step 4: Simplify right side
20,220x = 752,130,625 - Step 5: Solve for x
x = 752,130,625/20,220 - Step 6: Final answer
x = 37,197.36
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.