Finding the Third Proportional to 2,064 and 3,102
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Solution
The third proportional to 2,064 and 3,102 is: 4,662.02
Step by Step Solution
- Step 1: Write the proportion equation
2,064 : 3,102 = 3,102 : x - Step 2: Convert to fraction form
2,064/3,102 = 3,102/x - Step 3: Cross multiply
2,064x = 3,102 × 3,102 - Step 4: Simplify right side
2,064x = 9,622,404 - Step 5: Solve for x
x = 9,622,404/2,064 - Step 6: Final answer
x = 4,662.02
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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.