Finding the Third Proportional to 42,331 and 56,657
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Solution
The third proportional to 42,331 and 56,657 is: 75,831.32
Step by Step Solution
- Step 1: Write the proportion equation
42,331 : 56,657 = 56,657 : x - Step 2: Convert to fraction form
42,331/56,657 = 56,657/x - Step 3: Cross multiply
42,331x = 56,657 × 56,657 - Step 4: Simplify right side
42,331x = 3,210,015,649 - Step 5: Solve for x
x = 3,210,015,649/42,331 - Step 6: Final answer
x = 75,831.32
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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.