Finding the Third Proportional to 2,283.19 and 3,642.05
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Solution
The third proportional to 2,283.19 and 3,642.05 is: 5,809.64
Step by Step Solution
- Step 1: Write the proportion equation
2,283.19 : 3,642.05 = 3,642.05 : x - Step 2: Convert to fraction form
2,283.19/3,642.05 = 3,642.05/x - Step 3: Cross multiply
2,283.19x = 3,642.05 × 3,642.05 - Step 4: Simplify right side
2,283.19x = 13,264,505.44 - Step 5: Solve for x
x = 13,264,505.44/2,283.19 - Step 6: Final answer
x = 5,809.64
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.