Finding the Third Proportional to 2,057.63 and 3,075.75
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Solution
The third proportional to 2,057.63 and 3,075.75 is: 4,597.65
Step by Step Solution
- Step 1: Write the proportion equation
2,057.63 : 3,075.75 = 3,075.75 : x - Step 2: Convert to fraction form
2,057.63/3,075.75 = 3,075.75/x - Step 3: Cross multiply
2,057.63x = 3,075.75 × 3,075.75 - Step 4: Simplify right side
2,057.63x = 9,460,238.06 - Step 5: Solve for x
x = 9,460,238.06/2,057.63 - Step 6: Final answer
x = 4,597.65
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.