Finding the Third Proportional to 5,694.75 and 8,262.75
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Solution
The third proportional to 5,694.75 and 8,262.75 is: 11,988.77
Step by Step Solution
- Step 1: Write the proportion equation
5,694.75 : 8,262.75 = 8,262.75 : x - Step 2: Convert to fraction form
5,694.75/8,262.75 = 8,262.75/x - Step 3: Cross multiply
5,694.75x = 8,262.75 × 8,262.75 - Step 4: Simplify right side
5,694.75x = 68,273,037.56 - Step 5: Solve for x
x = 68,273,037.56/5,694.75 - Step 6: Final answer
x = 11,988.77
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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.