Finding the Third Proportional to 42,810 and 56,820
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Solution
The third proportional to 42,810 and 56,820 is: 75,414.91
Step by Step Solution
- Step 1: Write the proportion equation
42,810 : 56,820 = 56,820 : x - Step 2: Convert to fraction form
42,810/56,820 = 56,820/x - Step 3: Cross multiply
42,810x = 56,820 × 56,820 - Step 4: Simplify right side
42,810x = 3,228,512,400 - Step 5: Solve for x
x = 3,228,512,400/42,810 - Step 6: Final answer
x = 75,414.91
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.