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Finding the Third Proportional to 39,966 and 86,412

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Solution

The third proportional to 39,966 and 86,412 is: 186,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,966 : 86,412 = 86,412 : x
  2. Step 2: Convert to fraction form
    39,966/86,412 = 86,412/x
  3. Step 3: Cross multiply
    39,966x = 86,412 × 86,412
  4. Step 4: Simplify right side
    39,966x = 7,467,033,744
  5. Step 5: Solve for x
    x = 7,467,033,744/39,966
  6. Step 6: Final answer
    x = 186,834.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.