Finding the Third Proportional to 21,624.50 and 46,582
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Solution
The third proportional to 21,624.50 and 46,582 is: 100,343.72
Step by Step Solution
- Step 1: Write the proportion equation
21,624.50 : 46,582 = 46,582 : x - Step 2: Convert to fraction form
21,624.50/46,582 = 46,582/x - Step 3: Cross multiply
21,624.50x = 46,582 × 46,582 - Step 4: Simplify right side
21,624.50x = 2,169,882,724 - Step 5: Solve for x
x = 2,169,882,724/21,624.50 - Step 6: Final answer
x = 100,343.72
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.