Finding the Third Proportional to 51,065 and 73,549
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Solution
The third proportional to 51,065 and 73,549 is: 105,932.74
Step by Step Solution
- Step 1: Write the proportion equation
51,065 : 73,549 = 73,549 : x - Step 2: Convert to fraction form
51,065/73,549 = 73,549/x - Step 3: Cross multiply
51,065x = 73,549 × 73,549 - Step 4: Simplify right side
51,065x = 5,409,455,401 - Step 5: Solve for x
x = 5,409,455,401/51,065 - Step 6: Final answer
x = 105,932.74
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.