Finding the Third Proportional to 30,912 and 45,072
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Solution
The third proportional to 30,912 and 45,072 is: 65,718.34
Step by Step Solution
- Step 1: Write the proportion equation
30,912 : 45,072 = 45,072 : x - Step 2: Convert to fraction form
30,912/45,072 = 45,072/x - Step 3: Cross multiply
30,912x = 45,072 × 45,072 - Step 4: Simplify right side
30,912x = 2,031,485,184 - Step 5: Solve for x
x = 2,031,485,184/30,912 - Step 6: Final answer
x = 65,718.34
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.