Finding the Third Proportional to 47,200 and 103,472
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Solution
The third proportional to 47,200 and 103,472 is: 226,831.67
Step by Step Solution
- Step 1: Write the proportion equation
47,200 : 103,472 = 103,472 : x - Step 2: Convert to fraction form
47,200/103,472 = 103,472/x - Step 3: Cross multiply
47,200x = 103,472 × 103,472 - Step 4: Simplify right side
47,200x = 10,706,454,784 - Step 5: Solve for x
x = 10,706,454,784/47,200 - Step 6: Final answer
x = 226,831.67
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.