Finding the Third Proportional to 31,833 and 65,259
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Solution
The third proportional to 31,833 and 65,259 is: 133,783.72
Step by Step Solution
- Step 1: Write the proportion equation
31,833 : 65,259 = 65,259 : x - Step 2: Convert to fraction form
31,833/65,259 = 65,259/x - Step 3: Cross multiply
31,833x = 65,259 × 65,259 - Step 4: Simplify right side
31,833x = 4,258,737,081 - Step 5: Solve for x
x = 4,258,737,081/31,833 - Step 6: Final answer
x = 133,783.72
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.