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Finding the Third Proportional to 13,476.38 and 18,847.69

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Solution

The third proportional to 13,476.38 and 18,847.69 is: 26,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.38 : 18,847.69 = 18,847.69 : x
  2. Step 2: Convert to fraction form
    13,476.38/18,847.69 = 18,847.69/x
  3. Step 3: Cross multiply
    13,476.38x = 18,847.69 × 18,847.69
  4. Step 4: Simplify right side
    13,476.38x = 355,235,324.10
  5. Step 5: Solve for x
    x = 355,235,324.10/13,476.38
  6. Step 6: Final answer
    x = 26,359.86

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.