Finding the Third Proportional to 42,002 and 56,043
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Solution
The third proportional to 42,002 and 56,043 is: 74,777.82
Step by Step Solution
- Step 1: Write the proportion equation
42,002 : 56,043 = 56,043 : x - Step 2: Convert to fraction form
42,002/56,043 = 56,043/x - Step 3: Cross multiply
42,002x = 56,043 × 56,043 - Step 4: Simplify right side
42,002x = 3,140,817,849 - Step 5: Solve for x
x = 3,140,817,849/42,002 - Step 6: Final answer
x = 74,777.82
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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.