Finding the Third Proportional to 810 and 1,461
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Solution
The third proportional to 810 and 1,461 is: 2,635.21
Step by Step Solution
- Step 1: Write the proportion equation
810 : 1,461 = 1,461 : x - Step 2: Convert to fraction form
810/1,461 = 1,461/x - Step 3: Cross multiply
810x = 1,461 × 1,461 - Step 4: Simplify right side
810x = 2,134,521 - Step 5: Solve for x
x = 2,134,521/810 - Step 6: Final answer
x = 2,635.21
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Why These Related Problems?
These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.