Finding the Third Proportional to 5,776 and 8,940
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Solution
The third proportional to 5,776 and 8,940 is: 13,837.19
Step by Step Solution
- Step 1: Write the proportion equation
5,776 : 8,940 = 8,940 : x - Step 2: Convert to fraction form
5,776/8,940 = 8,940/x - Step 3: Cross multiply
5,776x = 8,940 × 8,940 - Step 4: Simplify right side
5,776x = 79,923,600 - Step 5: Solve for x
x = 79,923,600/5,776 - Step 6: Final answer
x = 13,837.19
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.