Finding the Third Proportional to 9,594 and 12,752
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Solution
The third proportional to 9,594 and 12,752 is: 16,949.50
Step by Step Solution
- Step 1: Write the proportion equation
9,594 : 12,752 = 12,752 : x - Step 2: Convert to fraction form
9,594/12,752 = 12,752/x - Step 3: Cross multiply
9,594x = 12,752 × 12,752 - Step 4: Simplify right side
9,594x = 162,613,504 - Step 5: Solve for x
x = 162,613,504/9,594 - Step 6: Final answer
x = 16,949.50
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.