Finding the Third Proportional to 3,780 and 8,190
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Solution
The third proportional to 3,780 and 8,190 is: 17,745
Step by Step Solution
- Step 1: Write the proportion equation
3,780 : 8,190 = 8,190 : x - Step 2: Convert to fraction form
3,780/8,190 = 8,190/x - Step 3: Cross multiply
3,780x = 8,190 × 8,190 - Step 4: Simplify right side
3,780x = 67,076,100 - Step 5: Solve for x
x = 67,076,100/3,780 - Step 6: Final answer
x = 17,745
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.