Finding the Third Proportional to 37,142 and 56,028
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Solution
The third proportional to 37,142 and 56,028 is: 84,517.17
Step by Step Solution
- Step 1: Write the proportion equation
37,142 : 56,028 = 56,028 : x - Step 2: Convert to fraction form
37,142/56,028 = 56,028/x - Step 3: Cross multiply
37,142x = 56,028 × 56,028 - Step 4: Simplify right side
37,142x = 3,139,136,784 - Step 5: Solve for x
x = 3,139,136,784/37,142 - Step 6: Final answer
x = 84,517.17
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.