Finding the Third Proportional to 32,051 and 42,856
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Solution
The third proportional to 32,051 and 42,856 is: 57,303.57
Step by Step Solution
- Step 1: Write the proportion equation
32,051 : 42,856 = 42,856 : x - Step 2: Convert to fraction form
32,051/42,856 = 42,856/x - Step 3: Cross multiply
32,051x = 42,856 × 42,856 - Step 4: Simplify right side
32,051x = 1,836,636,736 - Step 5: Solve for x
x = 1,836,636,736/32,051 - Step 6: Final answer
x = 57,303.57
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.