Finding the Third Proportional to 5,876 and 13,754
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Solution
The third proportional to 5,876 and 13,754 is: 32,194.10
Step by Step Solution
- Step 1: Write the proportion equation
5,876 : 13,754 = 13,754 : x - Step 2: Convert to fraction form
5,876/13,754 = 13,754/x - Step 3: Cross multiply
5,876x = 13,754 × 13,754 - Step 4: Simplify right side
5,876x = 189,172,516 - Step 5: Solve for x
x = 189,172,516/5,876 - Step 6: Final answer
x = 32,194.10
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.