Finding the Third Proportional to 8,412.75 and 13,197.94
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Solution
The third proportional to 8,412.75 and 13,197.94 is: 20,704.95
Step by Step Solution
- Step 1: Write the proportion equation
8,412.75 : 13,197.94 = 13,197.94 : x - Step 2: Convert to fraction form
8,412.75/13,197.94 = 13,197.94/x - Step 3: Cross multiply
8,412.75x = 13,197.94 × 13,197.94 - Step 4: Simplify right side
8,412.75x = 174,185,554.25 - Step 5: Solve for x
x = 174,185,554.25/8,412.75 - Step 6: Final answer
x = 20,704.95
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.