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Finding the Third Proportional to 24,000 and 49,844

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Solution

The third proportional to 24,000 and 49,844 is: 103,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000 : 49,844 = 49,844 : x
  2. Step 2: Convert to fraction form
    24,000/49,844 = 49,844/x
  3. Step 3: Cross multiply
    24,000x = 49,844 × 49,844
  4. Step 4: Simplify right side
    24,000x = 2,484,424,336
  5. Step 5: Solve for x
    x = 2,484,424,336/24,000
  6. Step 6: Final answer
    x = 103,517.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.