Finding the Third Proportional to 2,282 and 5,010
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Solution
The third proportional to 2,282 and 5,010 is: 10,999.17
Step by Step Solution
- Step 1: Write the proportion equation
2,282 : 5,010 = 5,010 : x - Step 2: Convert to fraction form
2,282/5,010 = 5,010/x - Step 3: Cross multiply
2,282x = 5,010 × 5,010 - Step 4: Simplify right side
2,282x = 25,100,100 - Step 5: Solve for x
x = 25,100,100/2,282 - Step 6: Final answer
x = 10,999.17
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.