Finding the Third Proportional to 5,204 and 6,873
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Solution
The third proportional to 5,204 and 6,873 is: 9,077.27
Step by Step Solution
- Step 1: Write the proportion equation
5,204 : 6,873 = 6,873 : x - Step 2: Convert to fraction form
5,204/6,873 = 6,873/x - Step 3: Cross multiply
5,204x = 6,873 × 6,873 - Step 4: Simplify right side
5,204x = 47,238,129 - Step 5: Solve for x
x = 47,238,129/5,204 - Step 6: Final answer
x = 9,077.27
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Why These Related Problems?
These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.