Finding the Third Proportional to 1,163.67 and 2,532.09
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Solution
The third proportional to 1,163.67 and 2,532.09 is: 5,509.71
Step by Step Solution
- Step 1: Write the proportion equation
1,163.67 : 2,532.09 = 2,532.09 : x - Step 2: Convert to fraction form
1,163.67/2,532.09 = 2,532.09/x - Step 3: Cross multiply
1,163.67x = 2,532.09 × 2,532.09 - Step 4: Simplify right side
1,163.67x = 6,411,498.76 - Step 5: Solve for x
x = 6,411,498.76/1,163.67 - Step 6: Final answer
x = 5,509.71
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.