Finding the Third Proportional to 7,800 and 18,156
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Solution
The third proportional to 7,800 and 18,156 is: 42,261.58
Step by Step Solution
- Step 1: Write the proportion equation
7,800 : 18,156 = 18,156 : x - Step 2: Convert to fraction form
7,800/18,156 = 18,156/x - Step 3: Cross multiply
7,800x = 18,156 × 18,156 - Step 4: Simplify right side
7,800x = 329,640,336 - Step 5: Solve for x
x = 329,640,336/7,800 - Step 6: Final answer
x = 42,261.58
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.