Finding the Third Proportional to 38,682 and 83,646
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Solution
The third proportional to 38,682 and 83,646 is: 180,876.20
Step by Step Solution
- Step 1: Write the proportion equation
38,682 : 83,646 = 83,646 : x - Step 2: Convert to fraction form
38,682/83,646 = 83,646/x - Step 3: Cross multiply
38,682x = 83,646 × 83,646 - Step 4: Simplify right side
38,682x = 6,996,653,316 - Step 5: Solve for x
x = 6,996,653,316/38,682 - Step 6: Final answer
x = 180,876.20
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.