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Finding the Third Proportional to 29,747.25 and 49,997.25

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Solution

The third proportional to 29,747.25 and 49,997.25 is: 84,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,747.25 : 49,997.25 = 49,997.25 : x
  2. Step 2: Convert to fraction form
    29,747.25/49,997.25 = 49,997.25/x
  3. Step 3: Cross multiply
    29,747.25x = 49,997.25 × 49,997.25
  4. Step 4: Simplify right side
    29,747.25x = 2,499,725,007.56
  5. Step 5: Solve for x
    x = 2,499,725,007.56/29,747.25
  6. Step 6: Final answer
    x = 84,032.14

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.