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Finding the Third Proportional to 47,982.38 and 73,431.56

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Solution

The third proportional to 47,982.38 and 73,431.56 is: 112,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,982.38 : 73,431.56 = 73,431.56 : x
  2. Step 2: Convert to fraction form
    47,982.38/73,431.56 = 73,431.56/x
  3. Step 3: Cross multiply
    47,982.38x = 73,431.56 × 73,431.56
  4. Step 4: Simplify right side
    47,982.38x = 5,392,194,371.19
  5. Step 5: Solve for x
    x = 5,392,194,371.19/47,982.38
  6. Step 6: Final answer
    x = 112,378.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.