Finding the Third Proportional to 7,537.75 and 16,414.75
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Solution
The third proportional to 7,537.75 and 16,414.75 is: 35,745.95
Step by Step Solution
- Step 1: Write the proportion equation
7,537.75 : 16,414.75 = 16,414.75 : x - Step 2: Convert to fraction form
7,537.75/16,414.75 = 16,414.75/x - Step 3: Cross multiply
7,537.75x = 16,414.75 × 16,414.75 - Step 4: Simplify right side
7,537.75x = 269,444,017.56 - Step 5: Solve for x
x = 269,444,017.56/7,537.75 - Step 6: Final answer
x = 35,745.95
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.