Finding the Third Proportional to 5,186 and 6,567
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Solution
The third proportional to 5,186 and 6,567 is: 8,315.75
Step by Step Solution
- Step 1: Write the proportion equation
5,186 : 6,567 = 6,567 : x - Step 2: Convert to fraction form
5,186/6,567 = 6,567/x - Step 3: Cross multiply
5,186x = 6,567 × 6,567 - Step 4: Simplify right side
5,186x = 43,125,489 - Step 5: Solve for x
x = 43,125,489/5,186 - Step 6: Final answer
x = 8,315.75
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Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.