Finding the Third Proportional to 6,470.25 and 14,124.75
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Solution
The third proportional to 6,470.25 and 14,124.75 is: 30,834.75
Step by Step Solution
- Step 1: Write the proportion equation
6,470.25 : 14,124.75 = 14,124.75 : x - Step 2: Convert to fraction form
6,470.25/14,124.75 = 14,124.75/x - Step 3: Cross multiply
6,470.25x = 14,124.75 × 14,124.75 - Step 4: Simplify right side
6,470.25x = 199,508,562.56 - Step 5: Solve for x
x = 199,508,562.56/6,470.25 - Step 6: Final answer
x = 30,834.75
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.