Finding the Third Proportional to 9,024 and 9,984
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Solution
The third proportional to 9,024 and 9,984 is: 11,046.13
Step by Step Solution
- Step 1: Write the proportion equation
9,024 : 9,984 = 9,984 : x - Step 2: Convert to fraction form
9,024/9,984 = 9,984/x - Step 3: Cross multiply
9,024x = 9,984 × 9,984 - Step 4: Simplify right side
9,024x = 99,680,256 - Step 5: Solve for x
x = 99,680,256/9,024 - Step 6: Final answer
x = 11,046.13
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.