Finding the Third Proportional to 1,176 and 3,024
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Solution
The third proportional to 1,176 and 3,024 is: 7,776
Step by Step Solution
- Step 1: Write the proportion equation
1,176 : 3,024 = 3,024 : x - Step 2: Convert to fraction form
1,176/3,024 = 3,024/x - Step 3: Cross multiply
1,176x = 3,024 × 3,024 - Step 4: Simplify right side
1,176x = 9,144,576 - Step 5: Solve for x
x = 9,144,576/1,176 - Step 6: Final answer
x = 7,776
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These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.