Finding the Third Proportional to 9,756 and 23,025
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Solution
The third proportional to 9,756 and 23,025 is: 54,340.98
Step by Step Solution
- Step 1: Write the proportion equation
9,756 : 23,025 = 23,025 : x - Step 2: Convert to fraction form
9,756/23,025 = 23,025/x - Step 3: Cross multiply
9,756x = 23,025 × 23,025 - Step 4: Simplify right side
9,756x = 530,150,625 - Step 5: Solve for x
x = 530,150,625/9,756 - Step 6: Final answer
x = 54,340.98
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.