Finding the Third Proportional to 30,722 and 45,871
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Solution
The third proportional to 30,722 and 45,871 is: 68,489.96
Step by Step Solution
- Step 1: Write the proportion equation
30,722 : 45,871 = 45,871 : x - Step 2: Convert to fraction form
30,722/45,871 = 45,871/x - Step 3: Cross multiply
30,722x = 45,871 × 45,871 - Step 4: Simplify right side
30,722x = 2,104,148,641 - Step 5: Solve for x
x = 2,104,148,641/30,722 - Step 6: Final answer
x = 68,489.96
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.