Finding the Third Proportional to 17,096 and 23,005
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Solution
The third proportional to 17,096 and 23,005 is: 30,956.37
Step by Step Solution
- Step 1: Write the proportion equation
17,096 : 23,005 = 23,005 : x - Step 2: Convert to fraction form
17,096/23,005 = 23,005/x - Step 3: Cross multiply
17,096x = 23,005 × 23,005 - Step 4: Simplify right side
17,096x = 529,230,025 - Step 5: Solve for x
x = 529,230,025/17,096 - Step 6: Final answer
x = 30,956.37
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.