Finding the Third Proportional to 2,674.75 and 4,202.75
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Solution
The third proportional to 2,674.75 and 4,202.75 is: 6,603.65
Step by Step Solution
- Step 1: Write the proportion equation
2,674.75 : 4,202.75 = 4,202.75 : x - Step 2: Convert to fraction form
2,674.75/4,202.75 = 4,202.75/x - Step 3: Cross multiply
2,674.75x = 4,202.75 × 4,202.75 - Step 4: Simplify right side
2,674.75x = 17,663,107.56 - Step 5: Solve for x
x = 17,663,107.56/2,674.75 - Step 6: Final answer
x = 6,603.65
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.