Finding the Third Proportional to 2,770 and 5,000
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Solution
The third proportional to 2,770 and 5,000 is: 9,025.27
Step by Step Solution
- Step 1: Write the proportion equation
2,770 : 5,000 = 5,000 : x - Step 2: Convert to fraction form
2,770/5,000 = 5,000/x - Step 3: Cross multiply
2,770x = 5,000 × 5,000 - Step 4: Simplify right side
2,770x = 25,000,000 - Step 5: Solve for x
x = 25,000,000/2,770 - Step 6: Final answer
x = 9,025.27
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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.