Finding the Third Proportional to 1,827.75 and 3,837.75
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Solution
The third proportional to 1,827.75 and 3,837.75 is: 8,058.17
Step by Step Solution
- Step 1: Write the proportion equation
1,827.75 : 3,837.75 = 3,837.75 : x - Step 2: Convert to fraction form
1,827.75/3,837.75 = 3,837.75/x - Step 3: Cross multiply
1,827.75x = 3,837.75 × 3,837.75 - Step 4: Simplify right side
1,827.75x = 14,728,325.06 - Step 5: Solve for x
x = 14,728,325.06/1,827.75 - Step 6: Final answer
x = 8,058.17
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.