Finding the Third Proportional to 6,102.88 and 13,378.29
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Solution
The third proportional to 6,102.88 and 13,378.29 is: 29,326.90
Step by Step Solution
- Step 1: Write the proportion equation
6,102.88 : 13,378.29 = 13,378.29 : x - Step 2: Convert to fraction form
6,102.88/13,378.29 = 13,378.29/x - Step 3: Cross multiply
6,102.88x = 13,378.29 × 13,378.29 - Step 4: Simplify right side
6,102.88x = 178,978,618.24 - Step 5: Solve for x
x = 178,978,618.24/6,102.88 - Step 6: Final answer
x = 29,326.90
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.