Finding the Third Proportional to 2,100 and 4,830
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Solution
The third proportional to 2,100 and 4,830 is: 11,109
Step by Step Solution
- Step 1: Write the proportion equation
2,100 : 4,830 = 4,830 : x - Step 2: Convert to fraction form
2,100/4,830 = 4,830/x - Step 3: Cross multiply
2,100x = 4,830 × 4,830 - Step 4: Simplify right side
2,100x = 23,328,900 - Step 5: Solve for x
x = 23,328,900/2,100 - Step 6: Final answer
x = 11,109
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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.