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Finding the Third Proportional to 39,678 and 82,644

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Solution

The third proportional to 39,678 and 82,644 is: 172,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,678 : 82,644 = 82,644 : x
  2. Step 2: Convert to fraction form
    39,678/82,644 = 82,644/x
  3. Step 3: Cross multiply
    39,678x = 82,644 × 82,644
  4. Step 4: Simplify right side
    39,678x = 6,830,030,736
  5. Step 5: Solve for x
    x = 6,830,030,736/39,678
  6. Step 6: Final answer
    x = 172,136.47

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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.