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Finding the Third Proportional to 9,704.88 and 20,793.13

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Solution

The third proportional to 9,704.88 and 20,793.13 is: 44,550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.88 : 20,793.13 = 20,793.13 : x
  2. Step 2: Convert to fraction form
    9,704.88/20,793.13 = 20,793.13/x
  3. Step 3: Cross multiply
    9,704.88x = 20,793.13 × 20,793.13
  4. Step 4: Simplify right side
    9,704.88x = 432,354,047.27
  5. Step 5: Solve for x
    x = 432,354,047.27/9,704.88
  6. Step 6: Final answer
    x = 44,550.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.