Finding the Third Proportional to 1,163.53 and 2,509.31
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Solution
The third proportional to 1,163.53 and 2,509.31 is: 5,411.67
Step by Step Solution
- Step 1: Write the proportion equation
1,163.53 : 2,509.31 = 2,509.31 : x - Step 2: Convert to fraction form
1,163.53/2,509.31 = 2,509.31/x - Step 3: Cross multiply
1,163.53x = 2,509.31 × 2,509.31 - Step 4: Simplify right side
1,163.53x = 6,296,649.22 - Step 5: Solve for x
x = 6,296,649.22/1,163.53 - Step 6: Final answer
x = 5,411.67
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.