Finding the Third Proportional to 20,756 and 31,902
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Solution
The third proportional to 20,756 and 31,902 is: 49,033.42
Step by Step Solution
- Step 1: Write the proportion equation
20,756 : 31,902 = 31,902 : x - Step 2: Convert to fraction form
20,756/31,902 = 31,902/x - Step 3: Cross multiply
20,756x = 31,902 × 31,902 - Step 4: Simplify right side
20,756x = 1,017,737,604 - Step 5: Solve for x
x = 1,017,737,604/20,756 - Step 6: Final answer
x = 49,033.42
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.