Finding the Third Proportional to 5,159 and 7,763
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Solution
The third proportional to 5,159 and 7,763 is: 11,681.37
Step by Step Solution
- Step 1: Write the proportion equation
5,159 : 7,763 = 7,763 : x - Step 2: Convert to fraction form
5,159/7,763 = 7,763/x - Step 3: Cross multiply
5,159x = 7,763 × 7,763 - Step 4: Simplify right side
5,159x = 60,264,169 - Step 5: Solve for x
x = 60,264,169/5,159 - Step 6: Final answer
x = 11,681.37
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.