Finding the Third Proportional to 2,209 and 5,003
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Solution
The third proportional to 2,209 and 5,003 is: 11,330.92
Step by Step Solution
- Step 1: Write the proportion equation
2,209 : 5,003 = 5,003 : x - Step 2: Convert to fraction form
2,209/5,003 = 5,003/x - Step 3: Cross multiply
2,209x = 5,003 × 5,003 - Step 4: Simplify right side
2,209x = 25,030,009 - Step 5: Solve for x
x = 25,030,009/2,209 - Step 6: Final answer
x = 11,330.92
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.