Finding the Third Proportional to 9,984 and 10,944
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Solution
The third proportional to 9,984 and 10,944 is: 11,996.31
Step by Step Solution
- Step 1: Write the proportion equation
9,984 : 10,944 = 10,944 : x - Step 2: Convert to fraction form
9,984/10,944 = 10,944/x - Step 3: Cross multiply
9,984x = 10,944 × 10,944 - Step 4: Simplify right side
9,984x = 119,771,136 - Step 5: Solve for x
x = 119,771,136/9,984 - Step 6: Final answer
x = 11,996.31
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.