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Finding the Third Proportional to 22,653.75 and 49,040.88

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Solution

The third proportional to 22,653.75 and 49,040.88 is: 106,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653.75 : 49,040.88 = 49,040.88 : x
  2. Step 2: Convert to fraction form
    22,653.75/49,040.88 = 49,040.88/x
  3. Step 3: Cross multiply
    22,653.75x = 49,040.88 × 49,040.88
  4. Step 4: Simplify right side
    22,653.75x = 2,405,007,420.77
  5. Step 5: Solve for x
    x = 2,405,007,420.77/22,653.75
  6. Step 6: Final answer
    x = 106,163.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.