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Finding the Third Proportional to 8,414.38 and 13,200.75

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Solution

The third proportional to 8,414.38 and 13,200.75 is: 20,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.38 : 13,200.75 = 13,200.75 : x
  2. Step 2: Convert to fraction form
    8,414.38/13,200.75 = 13,200.75/x
  3. Step 3: Cross multiply
    8,414.38x = 13,200.75 × 13,200.75
  4. Step 4: Simplify right side
    8,414.38x = 174,259,800.56
  5. Step 5: Solve for x
    x = 174,259,800.56/8,414.38
  6. Step 6: Final answer
    x = 20,709.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.