Finding the Third Proportional to 31,084 and 39,930
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Solution
The third proportional to 31,084 and 39,930 is: 51,293.43
Step by Step Solution
- Step 1: Write the proportion equation
31,084 : 39,930 = 39,930 : x - Step 2: Convert to fraction form
31,084/39,930 = 39,930/x - Step 3: Cross multiply
31,084x = 39,930 × 39,930 - Step 4: Simplify right side
31,084x = 1,594,404,900 - Step 5: Solve for x
x = 1,594,404,900/31,084 - Step 6: Final answer
x = 51,293.43
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Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.