Finding the Third Proportional to 46,272 and 71,712
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Solution
The third proportional to 46,272 and 71,712 is: 111,138.72
Step by Step Solution
- Step 1: Write the proportion equation
46,272 : 71,712 = 71,712 : x - Step 2: Convert to fraction form
46,272/71,712 = 71,712/x - Step 3: Cross multiply
46,272x = 71,712 × 71,712 - Step 4: Simplify right side
46,272x = 5,142,610,944 - Step 5: Solve for x
x = 5,142,610,944/46,272 - Step 6: Final answer
x = 111,138.72
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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.