Finding the Third Proportional to 42,309 and 64,818
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Solution
The third proportional to 42,309 and 64,818 is: 99,302.11
Step by Step Solution
- Step 1: Write the proportion equation
42,309 : 64,818 = 64,818 : x - Step 2: Convert to fraction form
42,309/64,818 = 64,818/x - Step 3: Cross multiply
42,309x = 64,818 × 64,818 - Step 4: Simplify right side
42,309x = 4,201,373,124 - Step 5: Solve for x
x = 4,201,373,124/42,309 - Step 6: Final answer
x = 99,302.11
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.