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Finding the Third Proportional to 24,864 and 50,976

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Solution

The third proportional to 24,864 and 50,976 is: 104,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,864 : 50,976 = 50,976 : x
  2. Step 2: Convert to fraction form
    24,864/50,976 = 50,976/x
  3. Step 3: Cross multiply
    24,864x = 50,976 × 50,976
  4. Step 4: Simplify right side
    24,864x = 2,598,552,576
  5. Step 5: Solve for x
    x = 2,598,552,576/24,864
  6. Step 6: Final answer
    x = 104,510.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.