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Finding the Third Proportional to 11,747.53 and 23,950.69

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Solution

The third proportional to 11,747.53 and 23,950.69 is: 48,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.53 : 23,950.69 = 23,950.69 : x
  2. Step 2: Convert to fraction form
    11,747.53/23,950.69 = 23,950.69/x
  3. Step 3: Cross multiply
    11,747.53x = 23,950.69 × 23,950.69
  4. Step 4: Simplify right side
    11,747.53x = 573,635,431.72
  5. Step 5: Solve for x
    x = 573,635,431.72/11,747.53
  6. Step 6: Final answer
    x = 48,830.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.