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Finding the Third Proportional to 23,553.75 and 48,763.69

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Solution

The third proportional to 23,553.75 and 48,763.69 is: 100,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,553.75 : 48,763.69 = 48,763.69 : x
  2. Step 2: Convert to fraction form
    23,553.75/48,763.69 = 48,763.69/x
  3. Step 3: Cross multiply
    23,553.75x = 48,763.69 × 48,763.69
  4. Step 4: Simplify right side
    23,553.75x = 2,377,897,218.60
  5. Step 5: Solve for x
    x = 2,377,897,218.60/23,553.75
  6. Step 6: Final answer
    x = 100,956.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.