Finding the Third Proportional to 57,023.25 and 89,451
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Solution
The third proportional to 57,023.25 and 89,451 is: 140,319.63
Step by Step Solution
- Step 1: Write the proportion equation
57,023.25 : 89,451 = 89,451 : x - Step 2: Convert to fraction form
57,023.25/89,451 = 89,451/x - Step 3: Cross multiply
57,023.25x = 89,451 × 89,451 - Step 4: Simplify right side
57,023.25x = 8,001,481,401 - Step 5: Solve for x
x = 8,001,481,401/57,023.25 - Step 6: Final answer
x = 140,319.63
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.