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Finding the Third Proportional to 39,974 and 57,751

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Solution

The third proportional to 39,974 and 57,751 is: 83,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,974 : 57,751 = 57,751 : x
  2. Step 2: Convert to fraction form
    39,974/57,751 = 57,751/x
  3. Step 3: Cross multiply
    39,974x = 57,751 × 57,751
  4. Step 4: Simplify right side
    39,974x = 3,335,178,001
  5. Step 5: Solve for x
    x = 3,335,178,001/39,974
  6. Step 6: Final answer
    x = 83,433.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.