Finding the Third Proportional to 8,100 and 17,820
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Solution
The third proportional to 8,100 and 17,820 is: 39,204
Step by Step Solution
- Step 1: Write the proportion equation
8,100 : 17,820 = 17,820 : x - Step 2: Convert to fraction form
8,100/17,820 = 17,820/x - Step 3: Cross multiply
8,100x = 17,820 × 17,820 - Step 4: Simplify right side
8,100x = 317,552,400 - Step 5: Solve for x
x = 317,552,400/8,100 - Step 6: Final answer
x = 39,204
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.