Finding the Third Proportional to 31,176 and 47,018.25
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Solution
The third proportional to 31,176 and 47,018.25 is: 70,910.82
Step by Step Solution
- Step 1: Write the proportion equation
31,176 : 47,018.25 = 47,018.25 : x - Step 2: Convert to fraction form
31,176/47,018.25 = 47,018.25/x - Step 3: Cross multiply
31,176x = 47,018.25 × 47,018.25 - Step 4: Simplify right side
31,176x = 2,210,715,833.06 - Step 5: Solve for x
x = 2,210,715,833.06/31,176 - Step 6: Final answer
x = 70,910.82
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.