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Finding the Third Proportional to 22,629.38 and 49,146.75

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Solution

The third proportional to 22,629.38 and 49,146.75 is: 106,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,629.38 : 49,146.75 = 49,146.75 : x
  2. Step 2: Convert to fraction form
    22,629.38/49,146.75 = 49,146.75/x
  3. Step 3: Cross multiply
    22,629.38x = 49,146.75 × 49,146.75
  4. Step 4: Simplify right side
    22,629.38x = 2,415,403,035.56
  5. Step 5: Solve for x
    x = 2,415,403,035.56/22,629.38
  6. Step 6: Final answer
    x = 106,737.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.