Finding the Third Proportional to 9,216 and 10,944
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Solution
The third proportional to 9,216 and 10,944 is: 12,996
Step by Step Solution
- Step 1: Write the proportion equation
9,216 : 10,944 = 10,944 : x - Step 2: Convert to fraction form
9,216/10,944 = 10,944/x - Step 3: Cross multiply
9,216x = 10,944 × 10,944 - Step 4: Simplify right side
9,216x = 119,771,136 - Step 5: Solve for x
x = 119,771,136/9,216 - Step 6: Final answer
x = 12,996
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Why These Related Problems?
These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.