Finding the Third Proportional to 2,176 and 2,992
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Solution
The third proportional to 2,176 and 2,992 is: 4,114
Step by Step Solution
- Step 1: Write the proportion equation
2,176 : 2,992 = 2,992 : x - Step 2: Convert to fraction form
2,176/2,992 = 2,992/x - Step 3: Cross multiply
2,176x = 2,992 × 2,992 - Step 4: Simplify right side
2,176x = 8,952,064 - Step 5: Solve for x
x = 8,952,064/2,176 - Step 6: Final answer
x = 4,114
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.