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Finding the Third Proportional to 39,814 and 86,652

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Solution

The third proportional to 39,814 and 86,652 is: 188,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,814 : 86,652 = 86,652 : x
  2. Step 2: Convert to fraction form
    39,814/86,652 = 86,652/x
  3. Step 3: Cross multiply
    39,814x = 86,652 × 86,652
  4. Step 4: Simplify right side
    39,814x = 7,508,569,104
  5. Step 5: Solve for x
    x = 7,508,569,104/39,814
  6. Step 6: Final answer
    x = 188,591.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.