Finding the Third Proportional to 20,976 and 46,098
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Solution
The third proportional to 20,976 and 46,098 is: 101,307.48
Step by Step Solution
- Step 1: Write the proportion equation
20,976 : 46,098 = 46,098 : x - Step 2: Convert to fraction form
20,976/46,098 = 46,098/x - Step 3: Cross multiply
20,976x = 46,098 × 46,098 - Step 4: Simplify right side
20,976x = 2,125,025,604 - Step 5: Solve for x
x = 2,125,025,604/20,976 - Step 6: Final answer
x = 101,307.48
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.