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Finding the Third Proportional to 39,674 and 57,326

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Solution

The third proportional to 39,674 and 57,326 is: 82,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,674 : 57,326 = 57,326 : x
  2. Step 2: Convert to fraction form
    39,674/57,326 = 57,326/x
  3. Step 3: Cross multiply
    39,674x = 57,326 × 57,326
  4. Step 4: Simplify right side
    39,674x = 3,286,270,276
  5. Step 5: Solve for x
    x = 3,286,270,276/39,674
  6. Step 6: Final answer
    x = 82,831.84

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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.