Finding the Third Proportional to 23,084 and 33,636
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Solution
The third proportional to 23,084 and 33,636 is: 49,011.46
Step by Step Solution
- Step 1: Write the proportion equation
23,084 : 33,636 = 33,636 : x - Step 2: Convert to fraction form
23,084/33,636 = 33,636/x - Step 3: Cross multiply
23,084x = 33,636 × 33,636 - Step 4: Simplify right side
23,084x = 1,131,380,496 - Step 5: Solve for x
x = 1,131,380,496/23,084 - Step 6: Final answer
x = 49,011.46
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.