Finding the Third Proportional to 2,256 and 3,004
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Solution
The third proportional to 2,256 and 3,004 is: 4,000.01
Step by Step Solution
- Step 1: Write the proportion equation
2,256 : 3,004 = 3,004 : x - Step 2: Convert to fraction form
2,256/3,004 = 3,004/x - Step 3: Cross multiply
2,256x = 3,004 × 3,004 - Step 4: Simplify right side
2,256x = 9,024,016 - Step 5: Solve for x
x = 9,024,016/2,256 - Step 6: Final answer
x = 4,000.01
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.