Finding the Third Proportional to 21,680 and 31,476
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Solution
The third proportional to 21,680 and 31,476 is: 45,698.27
Step by Step Solution
- Step 1: Write the proportion equation
21,680 : 31,476 = 31,476 : x - Step 2: Convert to fraction form
21,680/31,476 = 31,476/x - Step 3: Cross multiply
21,680x = 31,476 × 31,476 - Step 4: Simplify right side
21,680x = 990,738,576 - Step 5: Solve for x
x = 990,738,576/21,680 - Step 6: Final answer
x = 45,698.27
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Why These Related Problems?
These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.