Finding the Third Proportional to 2,234 and 4,900
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Solution
The third proportional to 2,234 and 4,900 is: 10,747.54
Step by Step Solution
- Step 1: Write the proportion equation
2,234 : 4,900 = 4,900 : x - Step 2: Convert to fraction form
2,234/4,900 = 4,900/x - Step 3: Cross multiply
2,234x = 4,900 × 4,900 - Step 4: Simplify right side
2,234x = 24,010,000 - Step 5: Solve for x
x = 24,010,000/2,234 - Step 6: Final answer
x = 10,747.54
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.