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Finding the Third Proportional to 39,747.94 and 53,974.69

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Solution

The third proportional to 39,747.94 and 53,974.69 is: 73,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,747.94 : 53,974.69 = 53,974.69 : x
  2. Step 2: Convert to fraction form
    39,747.94/53,974.69 = 53,974.69/x
  3. Step 3: Cross multiply
    39,747.94x = 53,974.69 × 53,974.69
  4. Step 4: Simplify right side
    39,747.94x = 2,913,266,890.72
  5. Step 5: Solve for x
    x = 2,913,266,890.72/39,747.94
  6. Step 6: Final answer
    x = 73,293.54

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.