Finding the Third Proportional to 2,463.75 and 5,205.09
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Solution
The third proportional to 2,463.75 and 5,205.09 is: 10,996.65
Step by Step Solution
- Step 1: Write the proportion equation
2,463.75 : 5,205.09 = 5,205.09 : x - Step 2: Convert to fraction form
2,463.75/5,205.09 = 5,205.09/x - Step 3: Cross multiply
2,463.75x = 5,205.09 × 5,205.09 - Step 4: Simplify right side
2,463.75x = 27,093,000.95 - Step 5: Solve for x
x = 27,093,000.95/2,463.75 - Step 6: Final answer
x = 10,996.65
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.