Finding the Third Proportional to 10,996 and 17,739
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Solution
The third proportional to 10,996 and 17,739 is: 28,616.96
Step by Step Solution
- Step 1: Write the proportion equation
10,996 : 17,739 = 17,739 : x - Step 2: Convert to fraction form
10,996/17,739 = 17,739/x - Step 3: Cross multiply
10,996x = 17,739 × 17,739 - Step 4: Simplify right side
10,996x = 314,672,121 - Step 5: Solve for x
x = 314,672,121/10,996 - Step 6: Final answer
x = 28,616.96
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.