Finding the Third Proportional to 46,417 and 70,781
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Solution
The third proportional to 46,417 and 70,781 is: 107,933.51
Step by Step Solution
- Step 1: Write the proportion equation
46,417 : 70,781 = 70,781 : x - Step 2: Convert to fraction form
46,417/70,781 = 70,781/x - Step 3: Cross multiply
46,417x = 70,781 × 70,781 - Step 4: Simplify right side
46,417x = 5,009,949,961 - Step 5: Solve for x
x = 5,009,949,961/46,417 - Step 6: Final answer
x = 107,933.51
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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.