Finding the Third Proportional to 949 and 2,296
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Solution
The third proportional to 949 and 2,296 is: 5,554.92
Step by Step Solution
- Step 1: Write the proportion equation
949 : 2,296 = 2,296 : x - Step 2: Convert to fraction form
949/2,296 = 2,296/x - Step 3: Cross multiply
949x = 2,296 × 2,296 - Step 4: Simplify right side
949x = 5,271,616 - Step 5: Solve for x
x = 5,271,616/949 - Step 6: Final answer
x = 5,554.92
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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.