Finding the Third Proportional to 5,149.75 and 7,723.75
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Solution
The third proportional to 5,149.75 and 7,723.75 is: 11,584.31
Step by Step Solution
- Step 1: Write the proportion equation
5,149.75 : 7,723.75 = 7,723.75 : x - Step 2: Convert to fraction form
5,149.75/7,723.75 = 7,723.75/x - Step 3: Cross multiply
5,149.75x = 7,723.75 × 7,723.75 - Step 4: Simplify right side
5,149.75x = 59,656,314.06 - Step 5: Solve for x
x = 59,656,314.06/5,149.75 - Step 6: Final answer
x = 11,584.31
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.