Finding the Third Proportional to 2,646 and 3,024
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Solution
The third proportional to 2,646 and 3,024 is: 3,456
Step by Step Solution
- Step 1: Write the proportion equation
2,646 : 3,024 = 3,024 : x - Step 2: Convert to fraction form
2,646/3,024 = 3,024/x - Step 3: Cross multiply
2,646x = 3,024 × 3,024 - Step 4: Simplify right side
2,646x = 9,144,576 - Step 5: Solve for x
x = 9,144,576/2,646 - Step 6: Final answer
x = 3,456
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.