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Finding the Third Proportional to 49,810 and 76,012

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Solution

The third proportional to 49,810 and 76,012 is: 115,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,810 : 76,012 = 76,012 : x
  2. Step 2: Convert to fraction form
    49,810/76,012 = 76,012/x
  3. Step 3: Cross multiply
    49,810x = 76,012 × 76,012
  4. Step 4: Simplify right side
    49,810x = 5,777,824,144
  5. Step 5: Solve for x
    x = 5,777,824,144/49,810
  6. Step 6: Final answer
    x = 115,997.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.