Finding the Third Proportional to 31,848 and 67,492.50
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Solution
The third proportional to 31,848 and 67,492.50 is: 143,030.57
Step by Step Solution
- Step 1: Write the proportion equation
31,848 : 67,492.50 = 67,492.50 : x - Step 2: Convert to fraction form
31,848/67,492.50 = 67,492.50/x - Step 3: Cross multiply
31,848x = 67,492.50 × 67,492.50 - Step 4: Simplify right side
31,848x = 4,555,237,556.25 - Step 5: Solve for x
x = 4,555,237,556.25/31,848 - Step 6: Final answer
x = 143,030.57
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.