Finding the Third Proportional to 31,904 and 45,876
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Solution
The third proportional to 31,904 and 45,876 is: 65,966.88
Step by Step Solution
- Step 1: Write the proportion equation
31,904 : 45,876 = 45,876 : x - Step 2: Convert to fraction form
31,904/45,876 = 45,876/x - Step 3: Cross multiply
31,904x = 45,876 × 45,876 - Step 4: Simplify right side
31,904x = 2,104,607,376 - Step 5: Solve for x
x = 2,104,607,376/31,904 - Step 6: Final answer
x = 65,966.88
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.