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Finding the Third Proportional to 22,520.25 and 48,885.75

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Solution

The third proportional to 22,520.25 and 48,885.75 is: 106,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.25 : 48,885.75 = 48,885.75 : x
  2. Step 2: Convert to fraction form
    22,520.25/48,885.75 = 48,885.75/x
  3. Step 3: Cross multiply
    22,520.25x = 48,885.75 × 48,885.75
  4. Step 4: Simplify right side
    22,520.25x = 2,389,816,553.06
  5. Step 5: Solve for x
    x = 2,389,816,553.06/22,520.25
  6. Step 6: Final answer
    x = 106,118.56

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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.