Finding the Third Proportional to 46,098 and 71,308
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Solution
The third proportional to 46,098 and 71,308 is: 110,304.80
Step by Step Solution
- Step 1: Write the proportion equation
46,098 : 71,308 = 71,308 : x - Step 2: Convert to fraction form
46,098/71,308 = 71,308/x - Step 3: Cross multiply
46,098x = 71,308 × 71,308 - Step 4: Simplify right side
46,098x = 5,084,830,864 - Step 5: Solve for x
x = 5,084,830,864/46,098 - Step 6: Final answer
x = 110,304.80
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.