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Finding the Third Proportional to 9,791.94 and 20,700.06

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Solution

The third proportional to 9,791.94 and 20,700.06 is: 43,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.94 : 20,700.06 = 20,700.06 : x
  2. Step 2: Convert to fraction form
    9,791.94/20,700.06 = 20,700.06/x
  3. Step 3: Cross multiply
    9,791.94x = 20,700.06 × 20,700.06
  4. Step 4: Simplify right side
    9,791.94x = 428,492,587.50
  5. Step 5: Solve for x
    x = 428,492,587.50/9,791.94
  6. Step 6: Final answer
    x = 43,759.73

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.