Finding the Third Proportional to 3,667.50 and 8,064
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Solution
The third proportional to 3,667.50 and 8,064 is: 17,730.91
Step by Step Solution
- Step 1: Write the proportion equation
3,667.50 : 8,064 = 8,064 : x - Step 2: Convert to fraction form
3,667.50/8,064 = 8,064/x - Step 3: Cross multiply
3,667.50x = 8,064 × 8,064 - Step 4: Simplify right side
3,667.50x = 65,028,096 - Step 5: Solve for x
x = 65,028,096/3,667.50 - Step 6: Final answer
x = 17,730.91
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.