Finding the Third Proportional to 5,704.50 and 8,764.50
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Solution
The third proportional to 5,704.50 and 8,764.50 is: 13,465.94
Step by Step Solution
- Step 1: Write the proportion equation
5,704.50 : 8,764.50 = 8,764.50 : x - Step 2: Convert to fraction form
5,704.50/8,764.50 = 8,764.50/x - Step 3: Cross multiply
5,704.50x = 8,764.50 × 8,764.50 - Step 4: Simplify right side
5,704.50x = 76,816,460.25 - Step 5: Solve for x
x = 76,816,460.25/5,704.50 - Step 6: Final answer
x = 13,465.94
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.