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Finding the Third Proportional to 1,912.68 and 4,034.18

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Solution

The third proportional to 1,912.68 and 4,034.18 is: 8,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.68 : 4,034.18 = 4,034.18 : x
  2. Step 2: Convert to fraction form
    1,912.68/4,034.18 = 4,034.18/x
  3. Step 3: Cross multiply
    1,912.68x = 4,034.18 × 4,034.18
  4. Step 4: Simplify right side
    1,912.68x = 16,274,605.75
  5. Step 5: Solve for x
    x = 16,274,605.75/1,912.68
  6. Step 6: Final answer
    x = 8,508.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.