Finding the Third Proportional to 6,061 and 12,997
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Solution
The third proportional to 6,061 and 12,997 is: 27,870.32
Step by Step Solution
- Step 1: Write the proportion equation
6,061 : 12,997 = 12,997 : x - Step 2: Convert to fraction form
6,061/12,997 = 12,997/x - Step 3: Cross multiply
6,061x = 12,997 × 12,997 - Step 4: Simplify right side
6,061x = 168,922,009 - Step 5: Solve for x
x = 168,922,009/6,061 - Step 6: Final answer
x = 27,870.32
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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.