Finding the Third Proportional to 6,057 and 12,978
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Solution
The third proportional to 6,057 and 12,978 is: 27,807.25
Step by Step Solution
- Step 1: Write the proportion equation
6,057 : 12,978 = 12,978 : x - Step 2: Convert to fraction form
6,057/12,978 = 12,978/x - Step 3: Cross multiply
6,057x = 12,978 × 12,978 - Step 4: Simplify right side
6,057x = 168,428,484 - Step 5: Solve for x
x = 168,428,484/6,057 - Step 6: Final answer
x = 27,807.25
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.