Finding the Third Proportional to 2,427.75 and 5,205.75
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Solution
The third proportional to 2,427.75 and 5,205.75 is: 11,162.53
Step by Step Solution
- Step 1: Write the proportion equation
2,427.75 : 5,205.75 = 5,205.75 : x - Step 2: Convert to fraction form
2,427.75/5,205.75 = 5,205.75/x - Step 3: Cross multiply
2,427.75x = 5,205.75 × 5,205.75 - Step 4: Simplify right side
2,427.75x = 27,099,833.06 - Step 5: Solve for x
x = 27,099,833.06/2,427.75 - Step 6: Final answer
x = 11,162.53
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.