Finding the Third Proportional to 827 and 902
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Solution
The third proportional to 827 and 902 is: 983.80
Step by Step Solution
- Step 1: Write the proportion equation
827 : 902 = 902 : x - Step 2: Convert to fraction form
827/902 = 902/x - Step 3: Cross multiply
827x = 902 × 902 - Step 4: Simplify right side
827x = 813,604 - Step 5: Solve for x
x = 813,604/827 - Step 6: Final answer
x = 983.80
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.