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Finding the Third Proportional to 22,639.50 and 49,167

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Solution

The third proportional to 22,639.50 and 49,167 is: 106,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,639.50 : 49,167 = 49,167 : x
  2. Step 2: Convert to fraction form
    22,639.50/49,167 = 49,167/x
  3. Step 3: Cross multiply
    22,639.50x = 49,167 × 49,167
  4. Step 4: Simplify right side
    22,639.50x = 2,417,393,889
  5. Step 5: Solve for x
    x = 2,417,393,889/22,639.50
  6. Step 6: Final answer
    x = 106,777.71

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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.