Finding the Third Proportional to 1,839 and 4,002
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Solution
The third proportional to 1,839 and 4,002 is: 8,709.08
Step by Step Solution
- Step 1: Write the proportion equation
1,839 : 4,002 = 4,002 : x - Step 2: Convert to fraction form
1,839/4,002 = 4,002/x - Step 3: Cross multiply
1,839x = 4,002 × 4,002 - Step 4: Simplify right side
1,839x = 16,016,004 - Step 5: Solve for x
x = 16,016,004/1,839 - Step 6: Final answer
x = 8,709.08
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.