Finding the Third Proportional to 19,498 and 46,000
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Solution
The third proportional to 19,498 and 46,000 is: 108,523.95
Step by Step Solution
- Step 1: Write the proportion equation
19,498 : 46,000 = 46,000 : x - Step 2: Convert to fraction form
19,498/46,000 = 46,000/x - Step 3: Cross multiply
19,498x = 46,000 × 46,000 - Step 4: Simplify right side
19,498x = 2,116,000,000 - Step 5: Solve for x
x = 2,116,000,000/19,498 - Step 6: Final answer
x = 108,523.95
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.