Finding the Third Proportional to 9,758 and 23,030
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Solution
The third proportional to 9,758 and 23,030 is: 54,353.44
Step by Step Solution
- Step 1: Write the proportion equation
9,758 : 23,030 = 23,030 : x - Step 2: Convert to fraction form
9,758/23,030 = 23,030/x - Step 3: Cross multiply
9,758x = 23,030 × 23,030 - Step 4: Simplify right side
9,758x = 530,380,900 - Step 5: Solve for x
x = 530,380,900/9,758 - Step 6: Final answer
x = 54,353.44
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.