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Finding the Third Proportional to 39,662 and 82,612

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Solution

The third proportional to 39,662 and 82,612 is: 172,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,662 : 82,612 = 82,612 : x
  2. Step 2: Convert to fraction form
    39,662/82,612 = 82,612/x
  3. Step 3: Cross multiply
    39,662x = 82,612 × 82,612
  4. Step 4: Simplify right side
    39,662x = 6,824,742,544
  5. Step 5: Solve for x
    x = 6,824,742,544/39,662
  6. Step 6: Final answer
    x = 172,072.58

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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.