Finding the Third Proportional to 415 and 947.50
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Solution
The third proportional to 415 and 947.50 is: 2,163.27
Step by Step Solution
- Step 1: Write the proportion equation
415 : 947.50 = 947.50 : x - Step 2: Convert to fraction form
415/947.50 = 947.50/x - Step 3: Cross multiply
415x = 947.50 × 947.50 - Step 4: Simplify right side
415x = 897,756.25 - Step 5: Solve for x
x = 897,756.25/415 - Step 6: Final answer
x = 2,163.27
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Why These Related Problems?
These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.