Finding the Third Proportional to 7,478 and 11,072
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Solution
The third proportional to 7,478 and 11,072 is: 16,393.31
Step by Step Solution
- Step 1: Write the proportion equation
7,478 : 11,072 = 11,072 : x - Step 2: Convert to fraction form
7,478/11,072 = 11,072/x - Step 3: Cross multiply
7,478x = 11,072 × 11,072 - Step 4: Simplify right side
7,478x = 122,589,184 - Step 5: Solve for x
x = 122,589,184/7,478 - Step 6: Final answer
x = 16,393.31
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.