Finding the Third Proportional to 1,778.06 and 3,824.44
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Solution
The third proportional to 1,778.06 and 3,824.44 is: 8,225.99
Step by Step Solution
- Step 1: Write the proportion equation
1,778.06 : 3,824.44 = 3,824.44 : x - Step 2: Convert to fraction form
1,778.06/3,824.44 = 3,824.44/x - Step 3: Cross multiply
1,778.06x = 3,824.44 × 3,824.44 - Step 4: Simplify right side
1,778.06x = 14,626,322.19 - Step 5: Solve for x
x = 14,626,322.19/1,778.06 - Step 6: Final answer
x = 8,225.99
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.