Finding the Third Proportional to 9,216 and 10,848
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Solution
The third proportional to 9,216 and 10,848 is: 12,769
Step by Step Solution
- Step 1: Write the proportion equation
9,216 : 10,848 = 10,848 : x - Step 2: Convert to fraction form
9,216/10,848 = 10,848/x - Step 3: Cross multiply
9,216x = 10,848 × 10,848 - Step 4: Simplify right side
9,216x = 117,679,104 - Step 5: Solve for x
x = 117,679,104/9,216 - Step 6: Final answer
x = 12,769
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Why These Related Problems?
These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.