Finding the Third Proportional to 8,012 and 17,500
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Solution
The third proportional to 8,012 and 17,500 is: 38,223.91
Step by Step Solution
- Step 1: Write the proportion equation
8,012 : 17,500 = 17,500 : x - Step 2: Convert to fraction form
8,012/17,500 = 17,500/x - Step 3: Cross multiply
8,012x = 17,500 × 17,500 - Step 4: Simplify right side
8,012x = 306,250,000 - Step 5: Solve for x
x = 306,250,000/8,012 - Step 6: Final answer
x = 38,223.91
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.