Finding the Third Proportional to 10,906 and 13,390
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Solution
The third proportional to 10,906 and 13,390 is: 16,439.77
Step by Step Solution
- Step 1: Write the proportion equation
10,906 : 13,390 = 13,390 : x - Step 2: Convert to fraction form
10,906/13,390 = 13,390/x - Step 3: Cross multiply
10,906x = 13,390 × 13,390 - Step 4: Simplify right side
10,906x = 179,292,100 - Step 5: Solve for x
x = 179,292,100/10,906 - Step 6: Final answer
x = 16,439.77
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Why These Related Problems?
These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.