Finding the Third Proportional to 9,216 and 10,368
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Solution
The third proportional to 9,216 and 10,368 is: 11,664
Step by Step Solution
- Step 1: Write the proportion equation
9,216 : 10,368 = 10,368 : x - Step 2: Convert to fraction form
9,216/10,368 = 10,368/x - Step 3: Cross multiply
9,216x = 10,368 × 10,368 - Step 4: Simplify right side
9,216x = 107,495,424 - Step 5: Solve for x
x = 107,495,424/9,216 - Step 6: Final answer
x = 11,664
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.