Finding the Third Proportional to 13,186 and 31,126
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Solution
The third proportional to 13,186 and 31,126 is: 73,473.98
Step by Step Solution
- Step 1: Write the proportion equation
13,186 : 31,126 = 31,126 : x - Step 2: Convert to fraction form
13,186/31,126 = 31,126/x - Step 3: Cross multiply
13,186x = 31,126 × 31,126 - Step 4: Simplify right side
13,186x = 968,827,876 - Step 5: Solve for x
x = 968,827,876/13,186 - Step 6: Final answer
x = 73,473.98
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.