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Finding the Third Proportional to 39,856 and 83,844

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Solution

The third proportional to 39,856 and 83,844 is: 176,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,856 : 83,844 = 83,844 : x
  2. Step 2: Convert to fraction form
    39,856/83,844 = 83,844/x
  3. Step 3: Cross multiply
    39,856x = 83,844 × 83,844
  4. Step 4: Simplify right side
    39,856x = 7,029,816,336
  5. Step 5: Solve for x
    x = 7,029,816,336/39,856
  6. Step 6: Final answer
    x = 176,380.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.