Finding the Third Proportional to 31,482 and 64,422
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Solution
The third proportional to 31,482 and 64,422 is: 131,827.52
Step by Step Solution
- Step 1: Write the proportion equation
31,482 : 64,422 = 64,422 : x - Step 2: Convert to fraction form
31,482/64,422 = 64,422/x - Step 3: Cross multiply
31,482x = 64,422 × 64,422 - Step 4: Simplify right side
31,482x = 4,150,194,084 - Step 5: Solve for x
x = 4,150,194,084/31,482 - Step 6: Final answer
x = 131,827.52
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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.