Finding the Third Proportional to 1,583.93 and 2,447.09
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Solution
The third proportional to 1,583.93 and 2,447.09 is: 3,780.62
Step by Step Solution
- Step 1: Write the proportion equation
1,583.93 : 2,447.09 = 2,447.09 : x - Step 2: Convert to fraction form
1,583.93/2,447.09 = 2,447.09/x - Step 3: Cross multiply
1,583.93x = 2,447.09 × 2,447.09 - Step 4: Simplify right side
1,583.93x = 5,988,229.59 - Step 5: Solve for x
x = 5,988,229.59/1,583.93 - Step 6: Final answer
x = 3,780.62
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.