Finding the Third Proportional to 30,596 and 47,062
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Solution
The third proportional to 30,596 and 47,062 is: 72,389.59
Step by Step Solution
- Step 1: Write the proportion equation
30,596 : 47,062 = 47,062 : x - Step 2: Convert to fraction form
30,596/47,062 = 47,062/x - Step 3: Cross multiply
30,596x = 47,062 × 47,062 - Step 4: Simplify right side
30,596x = 2,214,831,844 - Step 5: Solve for x
x = 2,214,831,844/30,596 - Step 6: Final answer
x = 72,389.59
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.