Finding the Third Proportional to 31,025 and 41,616
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Solution
The third proportional to 31,025 and 41,616 is: 55,822.45
Step by Step Solution
- Step 1: Write the proportion equation
31,025 : 41,616 = 41,616 : x - Step 2: Convert to fraction form
31,025/41,616 = 41,616/x - Step 3: Cross multiply
31,025x = 41,616 × 41,616 - Step 4: Simplify right side
31,025x = 1,731,891,456 - Step 5: Solve for x
x = 1,731,891,456/31,025 - Step 6: Final answer
x = 55,822.45
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.