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Finding the Third Proportional to 21,930.75 and 49,723.88

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Solution

The third proportional to 21,930.75 and 49,723.88 is: 112,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.75 : 49,723.88 = 49,723.88 : x
  2. Step 2: Convert to fraction form
    21,930.75/49,723.88 = 49,723.88/x
  3. Step 3: Cross multiply
    21,930.75x = 49,723.88 × 49,723.88
  4. Step 4: Simplify right side
    21,930.75x = 2,472,463,745.02
  5. Step 5: Solve for x
    x = 2,472,463,745.02/21,930.75
  6. Step 6: Final answer
    x = 112,739.59

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.