Finding the Third Proportional to 9,754 and 23,010
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Solution
The third proportional to 9,754 and 23,010 is: 54,281.33
Step by Step Solution
- Step 1: Write the proportion equation
9,754 : 23,010 = 23,010 : x - Step 2: Convert to fraction form
9,754/23,010 = 23,010/x - Step 3: Cross multiply
9,754x = 23,010 × 23,010 - Step 4: Simplify right side
9,754x = 529,460,100 - Step 5: Solve for x
x = 529,460,100/9,754 - Step 6: Final answer
x = 54,281.33
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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.