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Finding the Third Proportional to 39,418 and 83,857

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Solution

The third proportional to 39,418 and 83,857 is: 178,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,418 : 83,857 = 83,857 : x
  2. Step 2: Convert to fraction form
    39,418/83,857 = 83,857/x
  3. Step 3: Cross multiply
    39,418x = 83,857 × 83,857
  4. Step 4: Simplify right side
    39,418x = 7,031,996,449
  5. Step 5: Solve for x
    x = 7,031,996,449/39,418
  6. Step 6: Final answer
    x = 178,395.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.