Finding the Third Proportional to 32,328 and 67,815
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Solution
The third proportional to 32,328 and 67,815 is: 142,256.69
Step by Step Solution
- Step 1: Write the proportion equation
32,328 : 67,815 = 67,815 : x - Step 2: Convert to fraction form
32,328/67,815 = 67,815/x - Step 3: Cross multiply
32,328x = 67,815 × 67,815 - Step 4: Simplify right side
32,328x = 4,598,874,225 - Step 5: Solve for x
x = 4,598,874,225/32,328 - Step 6: Final answer
x = 142,256.69
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.