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Finding the Third Proportional to 24,004 and 50,444

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Solution

The third proportional to 24,004 and 50,444 is: 106,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,004 : 50,444 = 50,444 : x
  2. Step 2: Convert to fraction form
    24,004/50,444 = 50,444/x
  3. Step 3: Cross multiply
    24,004x = 50,444 × 50,444
  4. Step 4: Simplify right side
    24,004x = 2,544,597,136
  5. Step 5: Solve for x
    x = 2,544,597,136/24,004
  6. Step 6: Final answer
    x = 106,007.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.