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Finding the Third Proportional to 13,884.38 and 30,471.94

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Solution

The third proportional to 13,884.38 and 30,471.94 is: 66,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.38 : 30,471.94 = 30,471.94 : x
  2. Step 2: Convert to fraction form
    13,884.38/30,471.94 = 30,471.94/x
  3. Step 3: Cross multiply
    13,884.38x = 30,471.94 × 30,471.94
  4. Step 4: Simplify right side
    13,884.38x = 928,538,975.00
  5. Step 5: Solve for x
    x = 928,538,975.00/13,884.38
  6. Step 6: Final answer
    x = 66,876.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.