Finding the Third Proportional to 47,498 and 101,982
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Solution
The third proportional to 47,498 and 101,982 is: 218,963.50
Step by Step Solution
- Step 1: Write the proportion equation
47,498 : 101,982 = 101,982 : x - Step 2: Convert to fraction form
47,498/101,982 = 101,982/x - Step 3: Cross multiply
47,498x = 101,982 × 101,982 - Step 4: Simplify right side
47,498x = 10,400,328,324 - Step 5: Solve for x
x = 10,400,328,324/47,498 - Step 6: Final answer
x = 218,963.50
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.