Finding the Third Proportional to 13,923.50 and 22,857
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Solution
The third proportional to 13,923.50 and 22,857 is: 37,522.35
Step by Step Solution
- Step 1: Write the proportion equation
13,923.50 : 22,857 = 22,857 : x - Step 2: Convert to fraction form
13,923.50/22,857 = 22,857/x - Step 3: Cross multiply
13,923.50x = 22,857 × 22,857 - Step 4: Simplify right side
13,923.50x = 522,442,449 - Step 5: Solve for x
x = 522,442,449/13,923.50 - Step 6: Final answer
x = 37,522.35
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Why These Related Problems?
These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.