Finding the Third Proportional to 30,312 and 64,834
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Solution
The third proportional to 30,312 and 64,834 is: 138,672.72
Step by Step Solution
- Step 1: Write the proportion equation
30,312 : 64,834 = 64,834 : x - Step 2: Convert to fraction form
30,312/64,834 = 64,834/x - Step 3: Cross multiply
30,312x = 64,834 × 64,834 - Step 4: Simplify right side
30,312x = 4,203,447,556 - Step 5: Solve for x
x = 4,203,447,556/30,312 - Step 6: Final answer
x = 138,672.72
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.