Finding the Third Proportional to 31,320 and 45,804
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Solution
The third proportional to 31,320 and 45,804 is: 66,986.16
Step by Step Solution
- Step 1: Write the proportion equation
31,320 : 45,804 = 45,804 : x - Step 2: Convert to fraction form
31,320/45,804 = 45,804/x - Step 3: Cross multiply
31,320x = 45,804 × 45,804 - Step 4: Simplify right side
31,320x = 2,098,006,416 - Step 5: Solve for x
x = 2,098,006,416/31,320 - Step 6: Final answer
x = 66,986.16
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.