Finding the Third Proportional to 51,992 and 83,730
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Solution
The third proportional to 51,992 and 83,730 is: 134,842.15
Step by Step Solution
- Step 1: Write the proportion equation
51,992 : 83,730 = 83,730 : x - Step 2: Convert to fraction form
51,992/83,730 = 83,730/x - Step 3: Cross multiply
51,992x = 83,730 × 83,730 - Step 4: Simplify right side
51,992x = 7,010,712,900 - Step 5: Solve for x
x = 7,010,712,900/51,992 - Step 6: Final answer
x = 134,842.15
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.