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Finding the Third Proportional to 10,704.38 and 22,380.75

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Solution

The third proportional to 10,704.38 and 22,380.75 is: 46,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.38 : 22,380.75 = 22,380.75 : x
  2. Step 2: Convert to fraction form
    10,704.38/22,380.75 = 22,380.75/x
  3. Step 3: Cross multiply
    10,704.38x = 22,380.75 × 22,380.75
  4. Step 4: Simplify right side
    10,704.38x = 500,897,970.56
  5. Step 5: Solve for x
    x = 500,897,970.56/10,704.38
  6. Step 6: Final answer
    x = 46,793.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.