Finding the Third Proportional to 842 and 1,828
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Solution
The third proportional to 842 and 1,828 is: 3,968.63
Step by Step Solution
- Step 1: Write the proportion equation
842 : 1,828 = 1,828 : x - Step 2: Convert to fraction form
842/1,828 = 1,828/x - Step 3: Cross multiply
842x = 1,828 × 1,828 - Step 4: Simplify right side
842x = 3,341,584 - Step 5: Solve for x
x = 3,341,584/842 - Step 6: Final answer
x = 3,968.63
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.