Finding the Third Proportional to 2,107 and 3,000
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Solution
The third proportional to 2,107 and 3,000 is: 4,271.48
Step by Step Solution
- Step 1: Write the proportion equation
2,107 : 3,000 = 3,000 : x - Step 2: Convert to fraction form
2,107/3,000 = 3,000/x - Step 3: Cross multiply
2,107x = 3,000 × 3,000 - Step 4: Simplify right side
2,107x = 9,000,000 - Step 5: Solve for x
x = 9,000,000/2,107 - Step 6: Final answer
x = 4,271.48
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.