Finding the Third Proportional to 6,504 and 15,702
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Solution
The third proportional to 6,504 and 15,702 is: 37,907.87
Step by Step Solution
- Step 1: Write the proportion equation
6,504 : 15,702 = 15,702 : x - Step 2: Convert to fraction form
6,504/15,702 = 15,702/x - Step 3: Cross multiply
6,504x = 15,702 × 15,702 - Step 4: Simplify right side
6,504x = 246,552,804 - Step 5: Solve for x
x = 246,552,804/6,504 - Step 6: Final answer
x = 37,907.87
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.