Finding the Third Proportional to 2,242 and 4,852
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Solution
The third proportional to 2,242 and 4,852 is: 10,500.40
Step by Step Solution
- Step 1: Write the proportion equation
2,242 : 4,852 = 4,852 : x - Step 2: Convert to fraction form
2,242/4,852 = 4,852/x - Step 3: Cross multiply
2,242x = 4,852 × 4,852 - Step 4: Simplify right side
2,242x = 23,541,904 - Step 5: Solve for x
x = 23,541,904/2,242 - Step 6: Final answer
x = 10,500.40
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.