Finding the Third Proportional to 7,133 and 10,978
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Solution
The third proportional to 7,133 and 10,978 is: 16,895.62
Step by Step Solution
- Step 1: Write the proportion equation
7,133 : 10,978 = 10,978 : x - Step 2: Convert to fraction form
7,133/10,978 = 10,978/x - Step 3: Cross multiply
7,133x = 10,978 × 10,978 - Step 4: Simplify right side
7,133x = 120,516,484 - Step 5: Solve for x
x = 120,516,484/7,133 - Step 6: Final answer
x = 16,895.62
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.