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Finding the Third Proportional to 24,429.25 and 36,704.75

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Solution

The third proportional to 24,429.25 and 36,704.75 is: 55,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,429.25 : 36,704.75 = 36,704.75 : x
  2. Step 2: Convert to fraction form
    24,429.25/36,704.75 = 36,704.75/x
  3. Step 3: Cross multiply
    24,429.25x = 36,704.75 × 36,704.75
  4. Step 4: Simplify right side
    24,429.25x = 1,347,238,672.56
  5. Step 5: Solve for x
    x = 1,347,238,672.56/24,429.25
  6. Step 6: Final answer
    x = 55,148.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.