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Finding the Third Proportional to 39,741 and 82,713

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Solution

The third proportional to 39,741 and 82,713 is: 172,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,741 : 82,713 = 82,713 : x
  2. Step 2: Convert to fraction form
    39,741/82,713 = 82,713/x
  3. Step 3: Cross multiply
    39,741x = 82,713 × 82,713
  4. Step 4: Simplify right side
    39,741x = 6,841,440,369
  5. Step 5: Solve for x
    x = 6,841,440,369/39,741
  6. Step 6: Final answer
    x = 172,150.68

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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.