Finding the Third Proportional to 62,320 and 83,976
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Solution
The third proportional to 62,320 and 83,976 is: 113,157.39
Step by Step Solution
- Step 1: Write the proportion equation
62,320 : 83,976 = 83,976 : x - Step 2: Convert to fraction form
62,320/83,976 = 83,976/x - Step 3: Cross multiply
62,320x = 83,976 × 83,976 - Step 4: Simplify right side
62,320x = 7,051,968,576 - Step 5: Solve for x
x = 7,051,968,576/62,320 - Step 6: Final answer
x = 113,157.39
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.