Finding the Third Proportional to 22,042 and 31,422
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Solution
The third proportional to 22,042 and 31,422 is: 44,793.67
Step by Step Solution
- Step 1: Write the proportion equation
22,042 : 31,422 = 31,422 : x - Step 2: Convert to fraction form
22,042/31,422 = 31,422/x - Step 3: Cross multiply
22,042x = 31,422 × 31,422 - Step 4: Simplify right side
22,042x = 987,342,084 - Step 5: Solve for x
x = 987,342,084/22,042 - Step 6: Final answer
x = 44,793.67
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.