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Finding the Third Proportional to 21,257.44 and 49,222.69

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Solution

The third proportional to 21,257.44 and 49,222.69 is: 113,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.44 : 49,222.69 = 49,222.69 : x
  2. Step 2: Convert to fraction form
    21,257.44/49,222.69 = 49,222.69/x
  3. Step 3: Cross multiply
    21,257.44x = 49,222.69 × 49,222.69
  4. Step 4: Simplify right side
    21,257.44x = 2,422,872,964.72
  5. Step 5: Solve for x
    x = 2,422,872,964.72/21,257.44
  6. Step 6: Final answer
    x = 113,977.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.