Finding the Third Proportional to 8,100 and 16,470
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Solution
The third proportional to 8,100 and 16,470 is: 33,489
Step by Step Solution
- Step 1: Write the proportion equation
8,100 : 16,470 = 16,470 : x - Step 2: Convert to fraction form
8,100/16,470 = 16,470/x - Step 3: Cross multiply
8,100x = 16,470 × 16,470 - Step 4: Simplify right side
8,100x = 271,260,900 - Step 5: Solve for x
x = 271,260,900/8,100 - Step 6: Final answer
x = 33,489
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.