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Finding the Third Proportional to 9,923.77 and 21,791.53

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Solution

The third proportional to 9,923.77 and 21,791.53 is: 47,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.77 : 21,791.53 = 21,791.53 : x
  2. Step 2: Convert to fraction form
    9,923.77/21,791.53 = 21,791.53/x
  3. Step 3: Cross multiply
    9,923.77x = 21,791.53 × 21,791.53
  4. Step 4: Simplify right side
    9,923.77x = 474,870,834.22
  5. Step 5: Solve for x
    x = 474,870,834.22/9,923.77
  6. Step 6: Final answer
    x = 47,851.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.