Finding the Third Proportional to 2,104 and 3,164
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Solution
The third proportional to 2,104 and 3,164 is: 4,758.03
Step by Step Solution
- Step 1: Write the proportion equation
2,104 : 3,164 = 3,164 : x - Step 2: Convert to fraction form
2,104/3,164 = 3,164/x - Step 3: Cross multiply
2,104x = 3,164 × 3,164 - Step 4: Simplify right side
2,104x = 10,010,896 - Step 5: Solve for x
x = 10,010,896/2,104 - Step 6: Final answer
x = 4,758.03
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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.