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Finding the Third Proportional to 21,249 and 49,629.38

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Solution

The third proportional to 21,249 and 49,629.38 is: 115,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,249 : 49,629.38 = 49,629.38 : x
  2. Step 2: Convert to fraction form
    21,249/49,629.38 = 49,629.38/x
  3. Step 3: Cross multiply
    21,249x = 49,629.38 × 49,629.38
  4. Step 4: Simplify right side
    21,249x = 2,463,074,862.89
  5. Step 5: Solve for x
    x = 2,463,074,862.89/21,249
  6. Step 6: Final answer
    x = 115,914.86

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.