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Finding the Third Proportional to 39,795 and 86,013

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Solution

The third proportional to 39,795 and 86,013 is: 185,908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,795 : 86,013 = 86,013 : x
  2. Step 2: Convert to fraction form
    39,795/86,013 = 86,013/x
  3. Step 3: Cross multiply
    39,795x = 86,013 × 86,013
  4. Step 4: Simplify right side
    39,795x = 7,398,236,169
  5. Step 5: Solve for x
    x = 7,398,236,169/39,795
  6. Step 6: Final answer
    x = 185,908.69

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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.