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Finding the Third Proportional to 22,320 and 48,936

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Solution

The third proportional to 22,320 and 48,936 is: 107,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,320 : 48,936 = 48,936 : x
  2. Step 2: Convert to fraction form
    22,320/48,936 = 48,936/x
  3. Step 3: Cross multiply
    22,320x = 48,936 × 48,936
  4. Step 4: Simplify right side
    22,320x = 2,394,732,096
  5. Step 5: Solve for x
    x = 2,394,732,096/22,320
  6. Step 6: Final answer
    x = 107,290.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.