Finding the Third Proportional to 42,748 and 57,054
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Solution
The third proportional to 42,748 and 57,054 is: 76,147.63
Step by Step Solution
- Step 1: Write the proportion equation
42,748 : 57,054 = 57,054 : x - Step 2: Convert to fraction form
42,748/57,054 = 57,054/x - Step 3: Cross multiply
42,748x = 57,054 × 57,054 - Step 4: Simplify right side
42,748x = 3,255,158,916 - Step 5: Solve for x
x = 3,255,158,916/42,748 - Step 6: Final answer
x = 76,147.63
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.