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Finding the Third Proportional to 24,000 and 48,976

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Solution

The third proportional to 24,000 and 48,976 is: 99,943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000 : 48,976 = 48,976 : x
  2. Step 2: Convert to fraction form
    24,000/48,976 = 48,976/x
  3. Step 3: Cross multiply
    24,000x = 48,976 × 48,976
  4. Step 4: Simplify right side
    24,000x = 2,398,648,576
  5. Step 5: Solve for x
    x = 2,398,648,576/24,000
  6. Step 6: Final answer
    x = 99,943.69

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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.