Finding the Third Proportional to 47,748 and 103,992
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Solution
The third proportional to 47,748 and 103,992 is: 226,487.73
Step by Step Solution
- Step 1: Write the proportion equation
47,748 : 103,992 = 103,992 : x - Step 2: Convert to fraction form
47,748/103,992 = 103,992/x - Step 3: Cross multiply
47,748x = 103,992 × 103,992 - Step 4: Simplify right side
47,748x = 10,814,336,064 - Step 5: Solve for x
x = 10,814,336,064/47,748 - Step 6: Final answer
x = 226,487.73
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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.