Finding the Third Proportional to 47,014 and 72,828
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Solution
The third proportional to 47,014 and 72,828 is: 112,815.71
Step by Step Solution
- Step 1: Write the proportion equation
47,014 : 72,828 = 72,828 : x - Step 2: Convert to fraction form
47,014/72,828 = 72,828/x - Step 3: Cross multiply
47,014x = 72,828 × 72,828 - Step 4: Simplify right side
47,014x = 5,303,917,584 - Step 5: Solve for x
x = 5,303,917,584/47,014 - Step 6: Final answer
x = 112,815.71
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.