Finding the Third Proportional to 2,274.75 and 3,202.03
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Solution
The third proportional to 2,274.75 and 3,202.03 is: 4,507.31
Step by Step Solution
- Step 1: Write the proportion equation
2,274.75 : 3,202.03 = 3,202.03 : x - Step 2: Convert to fraction form
2,274.75/3,202.03 = 3,202.03/x - Step 3: Cross multiply
2,274.75x = 3,202.03 × 3,202.03 - Step 4: Simplify right side
2,274.75x = 10,253,004.13 - Step 5: Solve for x
x = 10,253,004.13/2,274.75 - Step 6: Final answer
x = 4,507.31
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.