Finding the Third Proportional to 47,314 and 103,028
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Solution
The third proportional to 47,314 and 103,028 is: 224,347.31
Step by Step Solution
- Step 1: Write the proportion equation
47,314 : 103,028 = 103,028 : x - Step 2: Convert to fraction form
47,314/103,028 = 103,028/x - Step 3: Cross multiply
47,314x = 103,028 × 103,028 - Step 4: Simplify right side
47,314x = 10,614,768,784 - Step 5: Solve for x
x = 10,614,768,784/47,314 - Step 6: Final answer
x = 224,347.31
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.