Finding the Third Proportional to 46,974 and 72,848
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Solution
The third proportional to 46,974 and 72,848 is: 112,973.80
Step by Step Solution
- Step 1: Write the proportion equation
46,974 : 72,848 = 72,848 : x - Step 2: Convert to fraction form
46,974/72,848 = 72,848/x - Step 3: Cross multiply
46,974x = 72,848 × 72,848 - Step 4: Simplify right side
46,974x = 5,306,831,104 - Step 5: Solve for x
x = 5,306,831,104/46,974 - Step 6: Final answer
x = 112,973.80
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.