Finding the Third Proportional to 9,522 and 12,078
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Solution
The third proportional to 9,522 and 12,078 is: 15,320.11
Step by Step Solution
- Step 1: Write the proportion equation
9,522 : 12,078 = 12,078 : x - Step 2: Convert to fraction form
9,522/12,078 = 12,078/x - Step 3: Cross multiply
9,522x = 12,078 × 12,078 - Step 4: Simplify right side
9,522x = 145,878,084 - Step 5: Solve for x
x = 145,878,084/9,522 - Step 6: Final answer
x = 15,320.11
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Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.