Finding the Third Proportional to 10,005.19 and 23,163.09
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Solution
The third proportional to 10,005.19 and 23,163.09 is: 53,625.07
Step by Step Solution
- Step 1: Write the proportion equation
10,005.19 : 23,163.09 = 23,163.09 : x - Step 2: Convert to fraction form
10,005.19/23,163.09 = 23,163.09/x - Step 3: Cross multiply
10,005.19x = 23,163.09 × 23,163.09 - Step 4: Simplify right side
10,005.19x = 536,528,912.07 - Step 5: Solve for x
x = 536,528,912.07/10,005.19 - Step 6: Final answer
x = 53,625.07
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.