Finding the Third Proportional to 33,607 and 49,642
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Solution
The third proportional to 33,607 and 49,642 is: 73,327.82
Step by Step Solution
- Step 1: Write the proportion equation
33,607 : 49,642 = 49,642 : x - Step 2: Convert to fraction form
33,607/49,642 = 49,642/x - Step 3: Cross multiply
33,607x = 49,642 × 49,642 - Step 4: Simplify right side
33,607x = 2,464,328,164 - Step 5: Solve for x
x = 2,464,328,164/33,607 - Step 6: Final answer
x = 73,327.82
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Why These Related Problems?
These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.