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Finding the Third Proportional to 51,789.38 and 76,043.81

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Solution

The third proportional to 51,789.38 and 76,043.81 is: 111,657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,789.38 : 76,043.81 = 76,043.81 : x
  2. Step 2: Convert to fraction form
    51,789.38/76,043.81 = 76,043.81/x
  3. Step 3: Cross multiply
    51,789.38x = 76,043.81 × 76,043.81
  4. Step 4: Simplify right side
    51,789.38x = 5,782,661,419.54
  5. Step 5: Solve for x
    x = 5,782,661,419.54/51,789.38
  6. Step 6: Final answer
    x = 111,657.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.