Finding the Third Proportional to 1,296 and 1,467
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Solution
The third proportional to 1,296 and 1,467 is: 1,660.56
Step by Step Solution
- Step 1: Write the proportion equation
1,296 : 1,467 = 1,467 : x - Step 2: Convert to fraction form
1,296/1,467 = 1,467/x - Step 3: Cross multiply
1,296x = 1,467 × 1,467 - Step 4: Simplify right side
1,296x = 2,152,089 - Step 5: Solve for x
x = 2,152,089/1,296 - Step 6: Final answer
x = 1,660.56
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.