Finding the Third Proportional to 38,298 and 83,708
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Solution
The third proportional to 38,298 and 83,708 is: 182,960.71
Step by Step Solution
- Step 1: Write the proportion equation
38,298 : 83,708 = 83,708 : x - Step 2: Convert to fraction form
38,298/83,708 = 83,708/x - Step 3: Cross multiply
38,298x = 83,708 × 83,708 - Step 4: Simplify right side
38,298x = 7,007,029,264 - Step 5: Solve for x
x = 7,007,029,264/38,298 - Step 6: Final answer
x = 182,960.71
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.