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Finding the Third Proportional to 38,704.92 and 57,339.56

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Solution

The third proportional to 38,704.92 and 57,339.56 is: 84,945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704.92 : 57,339.56 = 57,339.56 : x
  2. Step 2: Convert to fraction form
    38,704.92/57,339.56 = 57,339.56/x
  3. Step 3: Cross multiply
    38,704.92x = 57,339.56 × 57,339.56
  4. Step 4: Simplify right side
    38,704.92x = 3,287,825,427.69
  5. Step 5: Solve for x
    x = 3,287,825,427.69/38,704.92
  6. Step 6: Final answer
    x = 84,945.93

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.