Finding the Third Proportional to 827 and 1,543
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Solution
The third proportional to 827 and 1,543 is: 2,878.90
Step by Step Solution
- Step 1: Write the proportion equation
827 : 1,543 = 1,543 : x - Step 2: Convert to fraction form
827/1,543 = 1,543/x - Step 3: Cross multiply
827x = 1,543 × 1,543 - Step 4: Simplify right side
827x = 2,380,849 - Step 5: Solve for x
x = 2,380,849/827 - Step 6: Final answer
x = 2,878.90
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Why These Related Problems?
These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.