Finding the Third Proportional to 7,296 and 10,032
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Solution
The third proportional to 7,296 and 10,032 is: 13,794
Step by Step Solution
- Step 1: Write the proportion equation
7,296 : 10,032 = 10,032 : x - Step 2: Convert to fraction form
7,296/10,032 = 10,032/x - Step 3: Cross multiply
7,296x = 10,032 × 10,032 - Step 4: Simplify right side
7,296x = 100,641,024 - Step 5: Solve for x
x = 100,641,024/7,296 - Step 6: Final answer
x = 13,794
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.