Finding the Third Proportional to 6,232 and 13,842
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Solution
The third proportional to 6,232 and 13,842 is: 30,744.70
Step by Step Solution
- Step 1: Write the proportion equation
6,232 : 13,842 = 13,842 : x - Step 2: Convert to fraction form
6,232/13,842 = 13,842/x - Step 3: Cross multiply
6,232x = 13,842 × 13,842 - Step 4: Simplify right side
6,232x = 191,600,964 - Step 5: Solve for x
x = 191,600,964/6,232 - Step 6: Final answer
x = 30,744.70
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.