Finding the Third Proportional to 30,300 and 64,812
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Solution
The third proportional to 30,300 and 64,812 is: 138,633.51
Step by Step Solution
- Step 1: Write the proportion equation
30,300 : 64,812 = 64,812 : x - Step 2: Convert to fraction form
30,300/64,812 = 64,812/x - Step 3: Cross multiply
30,300x = 64,812 × 64,812 - Step 4: Simplify right side
30,300x = 4,200,595,344 - Step 5: Solve for x
x = 4,200,595,344/30,300 - Step 6: Final answer
x = 138,633.51
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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.