Finding the Third Proportional to 10,180 and 22,986
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Solution
The third proportional to 10,180 and 22,986 is: 51,901.39
Step by Step Solution
- Step 1: Write the proportion equation
10,180 : 22,986 = 22,986 : x - Step 2: Convert to fraction form
10,180/22,986 = 22,986/x - Step 3: Cross multiply
10,180x = 22,986 × 22,986 - Step 4: Simplify right side
10,180x = 528,356,196 - Step 5: Solve for x
x = 528,356,196/10,180 - Step 6: Final answer
x = 51,901.39
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.