Finding the Third Proportional to 20,756 and 31,350
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Solution
The third proportional to 20,756 and 31,350 is: 47,351.25
Step by Step Solution
- Step 1: Write the proportion equation
20,756 : 31,350 = 31,350 : x - Step 2: Convert to fraction form
20,756/31,350 = 31,350/x - Step 3: Cross multiply
20,756x = 31,350 × 31,350 - Step 4: Simplify right side
20,756x = 982,822,500 - Step 5: Solve for x
x = 982,822,500/20,756 - Step 6: Final answer
x = 47,351.25
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.