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Finding the Third Proportional to 24,729.75 and 36,633.38

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Solution

The third proportional to 24,729.75 and 36,633.38 is: 54,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729.75 : 36,633.38 = 36,633.38 : x
  2. Step 2: Convert to fraction form
    24,729.75/36,633.38 = 36,633.38/x
  3. Step 3: Cross multiply
    24,729.75x = 36,633.38 × 36,633.38
  4. Step 4: Simplify right side
    24,729.75x = 1,342,004,163.89
  5. Step 5: Solve for x
    x = 1,342,004,163.89/24,729.75
  6. Step 6: Final answer
    x = 54,266.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.