Finding the Third Proportional to 8,194.50 and 12,300
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Solution
The third proportional to 8,194.50 and 12,300 is: 18,462.38
Step by Step Solution
- Step 1: Write the proportion equation
8,194.50 : 12,300 = 12,300 : x - Step 2: Convert to fraction form
8,194.50/12,300 = 12,300/x - Step 3: Cross multiply
8,194.50x = 12,300 × 12,300 - Step 4: Simplify right side
8,194.50x = 151,290,000 - Step 5: Solve for x
x = 151,290,000/8,194.50 - Step 6: Final answer
x = 18,462.38
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.