Finding the Third Proportional to 5,204.25 and 8,277.19
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Solution
The third proportional to 5,204.25 and 8,277.19 is: 13,164.59
Step by Step Solution
- Step 1: Write the proportion equation
5,204.25 : 8,277.19 = 8,277.19 : x - Step 2: Convert to fraction form
5,204.25/8,277.19 = 8,277.19/x - Step 3: Cross multiply
5,204.25x = 8,277.19 × 8,277.19 - Step 4: Simplify right side
5,204.25x = 68,511,832.91 - Step 5: Solve for x
x = 68,511,832.91/5,204.25 - Step 6: Final answer
x = 13,164.59
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.