Finding the Third Proportional to 47,730 and 103,956
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Solution
The third proportional to 47,730 and 103,956 is: 226,416.30
Step by Step Solution
- Step 1: Write the proportion equation
47,730 : 103,956 = 103,956 : x - Step 2: Convert to fraction form
47,730/103,956 = 103,956/x - Step 3: Cross multiply
47,730x = 103,956 × 103,956 - Step 4: Simplify right side
47,730x = 10,806,849,936 - Step 5: Solve for x
x = 10,806,849,936/47,730 - Step 6: Final answer
x = 226,416.30
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.