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Finding the Third Proportional to 39,696 and 84,849

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Solution

The third proportional to 39,696 and 84,849 is: 181,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,696 : 84,849 = 84,849 : x
  2. Step 2: Convert to fraction form
    39,696/84,849 = 84,849/x
  3. Step 3: Cross multiply
    39,696x = 84,849 × 84,849
  4. Step 4: Simplify right side
    39,696x = 7,199,352,801
  5. Step 5: Solve for x
    x = 7,199,352,801/39,696
  6. Step 6: Final answer
    x = 181,362.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.