Finding the Third Proportional to 10,770 and 23,100
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Solution
The third proportional to 10,770 and 23,100 is: 49,545.96
Step by Step Solution
- Step 1: Write the proportion equation
10,770 : 23,100 = 23,100 : x - Step 2: Convert to fraction form
10,770/23,100 = 23,100/x - Step 3: Cross multiply
10,770x = 23,100 × 23,100 - Step 4: Simplify right side
10,770x = 533,610,000 - Step 5: Solve for x
x = 533,610,000/10,770 - Step 6: Final answer
x = 49,545.96
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.