Finding the Third Proportional to 30,076 and 45,822
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Solution
The third proportional to 30,076 and 45,822 is: 69,811.67
Step by Step Solution
- Step 1: Write the proportion equation
30,076 : 45,822 = 45,822 : x - Step 2: Convert to fraction form
30,076/45,822 = 45,822/x - Step 3: Cross multiply
30,076x = 45,822 × 45,822 - Step 4: Simplify right side
30,076x = 2,099,655,684 - Step 5: Solve for x
x = 2,099,655,684/30,076 - Step 6: Final answer
x = 69,811.67
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.