Finding the Third Proportional to 5,762 and 9,029
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Solution
The third proportional to 5,762 and 9,029 is: 14,148.36
Step by Step Solution
- Step 1: Write the proportion equation
5,762 : 9,029 = 9,029 : x - Step 2: Convert to fraction form
5,762/9,029 = 9,029/x - Step 3: Cross multiply
5,762x = 9,029 × 9,029 - Step 4: Simplify right side
5,762x = 81,522,841 - Step 5: Solve for x
x = 81,522,841/5,762 - Step 6: Final answer
x = 14,148.36
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.