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Finding the Third Proportional to 13,674.38 and 20,488.78

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Solution

The third proportional to 13,674.38 and 20,488.78 is: 30,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.38 : 20,488.78 = 20,488.78 : x
  2. Step 2: Convert to fraction form
    13,674.38/20,488.78 = 20,488.78/x
  3. Step 3: Cross multiply
    13,674.38x = 20,488.78 × 20,488.78
  4. Step 4: Simplify right side
    13,674.38x = 419,790,157.11
  5. Step 5: Solve for x
    x = 419,790,157.11/13,674.38
  6. Step 6: Final answer
    x = 30,699.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.