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Finding the Third Proportional to 24,057 and 55,296

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Solution

The third proportional to 24,057 and 55,296 is: 127,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057 : 55,296 = 55,296 : x
  2. Step 2: Convert to fraction form
    24,057/55,296 = 55,296/x
  3. Step 3: Cross multiply
    24,057x = 55,296 × 55,296
  4. Step 4: Simplify right side
    24,057x = 3,057,647,616
  5. Step 5: Solve for x
    x = 3,057,647,616/24,057
  6. Step 6: Final answer
    x = 127,100.12

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.