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Finding the Third Proportional to 39,664 and 85,472

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Solution

The third proportional to 39,664 and 85,472 is: 184,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,664 : 85,472 = 85,472 : x
  2. Step 2: Convert to fraction form
    39,664/85,472 = 85,472/x
  3. Step 3: Cross multiply
    39,664x = 85,472 × 85,472
  4. Step 4: Simplify right side
    39,664x = 7,305,462,784
  5. Step 5: Solve for x
    x = 7,305,462,784/39,664
  6. Step 6: Final answer
    x = 184,183.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.