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Finding the Third Proportional to 22,936 and 49,615

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Solution

The third proportional to 22,936 and 49,615 is: 107,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,936 : 49,615 = 49,615 : x
  2. Step 2: Convert to fraction form
    22,936/49,615 = 49,615/x
  3. Step 3: Cross multiply
    22,936x = 49,615 × 49,615
  4. Step 4: Simplify right side
    22,936x = 2,461,648,225
  5. Step 5: Solve for x
    x = 2,461,648,225/22,936
  6. Step 6: Final answer
    x = 107,326.83

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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.