Finding the Third Proportional to 37,304 and 77,754
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Solution
The third proportional to 37,304 and 77,754 is: 162,065.32
Step by Step Solution
- Step 1: Write the proportion equation
37,304 : 77,754 = 77,754 : x - Step 2: Convert to fraction form
37,304/77,754 = 77,754/x - Step 3: Cross multiply
37,304x = 77,754 × 77,754 - Step 4: Simplify right side
37,304x = 6,045,684,516 - Step 5: Solve for x
x = 6,045,684,516/37,304 - Step 6: Final answer
x = 162,065.32
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.