Finding the Third Proportional to 42,758 and 64,897
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Solution
The third proportional to 42,758 and 64,897 is: 98,499.01
Step by Step Solution
- Step 1: Write the proportion equation
42,758 : 64,897 = 64,897 : x - Step 2: Convert to fraction form
42,758/64,897 = 64,897/x - Step 3: Cross multiply
42,758x = 64,897 × 64,897 - Step 4: Simplify right side
42,758x = 4,211,620,609 - Step 5: Solve for x
x = 4,211,620,609/42,758 - Step 6: Final answer
x = 98,499.01
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.