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Finding the Third Proportional to 21,935.25 and 34,183.69

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Solution

The third proportional to 21,935.25 and 34,183.69 is: 53,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,935.25 : 34,183.69 = 34,183.69 : x
  2. Step 2: Convert to fraction form
    21,935.25/34,183.69 = 34,183.69/x
  3. Step 3: Cross multiply
    21,935.25x = 34,183.69 × 34,183.69
  4. Step 4: Simplify right side
    21,935.25x = 1,168,524,491.10
  5. Step 5: Solve for x
    x = 1,168,524,491.10/21,935.25
  6. Step 6: Final answer
    x = 53,271.54

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.