Finding the Third Proportional to 51,931.50 and 113,472
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Solution
The third proportional to 51,931.50 and 113,472 is: 247,939.97
Step by Step Solution
- Step 1: Write the proportion equation
51,931.50 : 113,472 = 113,472 : x - Step 2: Convert to fraction form
51,931.50/113,472 = 113,472/x - Step 3: Cross multiply
51,931.50x = 113,472 × 113,472 - Step 4: Simplify right side
51,931.50x = 12,875,894,784 - Step 5: Solve for x
x = 12,875,894,784/51,931.50 - Step 6: Final answer
x = 247,939.97
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.