Finding the Third Proportional to 32,084 and 49,584
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Solution
The third proportional to 32,084 and 49,584 is: 76,629.26
Step by Step Solution
- Step 1: Write the proportion equation
32,084 : 49,584 = 49,584 : x - Step 2: Convert to fraction form
32,084/49,584 = 49,584/x - Step 3: Cross multiply
32,084x = 49,584 × 49,584 - Step 4: Simplify right side
32,084x = 2,458,573,056 - Step 5: Solve for x
x = 2,458,573,056/32,084 - Step 6: Final answer
x = 76,629.26
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.