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Finding the Third Proportional to 39,684 and 82,656

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Solution

The third proportional to 39,684 and 82,656 is: 172,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,684 : 82,656 = 82,656 : x
  2. Step 2: Convert to fraction form
    39,684/82,656 = 82,656/x
  3. Step 3: Cross multiply
    39,684x = 82,656 × 82,656
  4. Step 4: Simplify right side
    39,684x = 6,832,014,336
  5. Step 5: Solve for x
    x = 6,832,014,336/39,684
  6. Step 6: Final answer
    x = 172,160.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.