Finding the Third Proportional to 1,176 and 2,400
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Solution
The third proportional to 1,176 and 2,400 is: 4,897.96
Step by Step Solution
- Step 1: Write the proportion equation
1,176 : 2,400 = 2,400 : x - Step 2: Convert to fraction form
1,176/2,400 = 2,400/x - Step 3: Cross multiply
1,176x = 2,400 × 2,400 - Step 4: Simplify right side
1,176x = 5,760,000 - Step 5: Solve for x
x = 5,760,000/1,176 - Step 6: Final answer
x = 4,897.96
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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.