Finding the Third Proportional to 5,834 and 7,836
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Solution
The third proportional to 5,834 and 7,836 is: 10,525.01
Step by Step Solution
- Step 1: Write the proportion equation
5,834 : 7,836 = 7,836 : x - Step 2: Convert to fraction form
5,834/7,836 = 7,836/x - Step 3: Cross multiply
5,834x = 7,836 × 7,836 - Step 4: Simplify right side
5,834x = 61,402,896 - Step 5: Solve for x
x = 61,402,896/5,834 - Step 6: Final answer
x = 10,525.01
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.