Finding the Third Proportional to 2,000 and 2,300
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Solution
The third proportional to 2,000 and 2,300 is: 2,645
Step by Step Solution
- Step 1: Write the proportion equation
2,000 : 2,300 = 2,300 : x - Step 2: Convert to fraction form
2,000/2,300 = 2,300/x - Step 3: Cross multiply
2,000x = 2,300 × 2,300 - Step 4: Simplify right side
2,000x = 5,290,000 - Step 5: Solve for x
x = 5,290,000/2,000 - Step 6: Final answer
x = 2,645
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Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.