Finding the Third Proportional to 892 and 1,763
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Solution
The third proportional to 892 and 1,763 is: 3,484.49
Step by Step Solution
- Step 1: Write the proportion equation
892 : 1,763 = 1,763 : x - Step 2: Convert to fraction form
892/1,763 = 1,763/x - Step 3: Cross multiply
892x = 1,763 × 1,763 - Step 4: Simplify right side
892x = 3,108,169 - Step 5: Solve for x
x = 3,108,169/892 - Step 6: Final answer
x = 3,484.49
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Why These Related Problems?
These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.