Finding the Third Proportional to 19,542 and 42,786
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Solution
The third proportional to 19,542 and 42,786 is: 93,677.30
Step by Step Solution
- Step 1: Write the proportion equation
19,542 : 42,786 = 42,786 : x - Step 2: Convert to fraction form
19,542/42,786 = 42,786/x - Step 3: Cross multiply
19,542x = 42,786 × 42,786 - Step 4: Simplify right side
19,542x = 1,830,641,796 - Step 5: Solve for x
x = 1,830,641,796/19,542 - Step 6: Final answer
x = 93,677.30
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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.