Finding the Third Proportional to 3,202 and 5,003
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Solution
The third proportional to 3,202 and 5,003 is: 7,816.99
Step by Step Solution
- Step 1: Write the proportion equation
3,202 : 5,003 = 5,003 : x - Step 2: Convert to fraction form
3,202/5,003 = 5,003/x - Step 3: Cross multiply
3,202x = 5,003 × 5,003 - Step 4: Simplify right side
3,202x = 25,030,009 - Step 5: Solve for x
x = 25,030,009/3,202 - Step 6: Final answer
x = 7,816.99
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.