Finding the Third Proportional to 10,112 and 11,964
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Solution
The third proportional to 10,112 and 11,964 is: 14,155.19
Step by Step Solution
- Step 1: Write the proportion equation
10,112 : 11,964 = 11,964 : x - Step 2: Convert to fraction form
10,112/11,964 = 11,964/x - Step 3: Cross multiply
10,112x = 11,964 × 11,964 - Step 4: Simplify right side
10,112x = 143,137,296 - Step 5: Solve for x
x = 143,137,296/10,112 - Step 6: Final answer
x = 14,155.19
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Why These Related Problems?
These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.