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Finding the Third Proportional to 24,057 and 51,834.94

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Solution

The third proportional to 24,057 and 51,834.94 is: 111,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057 : 51,834.94 = 51,834.94 : x
  2. Step 2: Convert to fraction form
    24,057/51,834.94 = 51,834.94/x
  3. Step 3: Cross multiply
    24,057x = 51,834.94 × 51,834.94
  4. Step 4: Simplify right side
    24,057x = 2,686,860,745.63
  5. Step 5: Solve for x
    x = 2,686,860,745.63/24,057
  6. Step 6: Final answer
    x = 111,687.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.