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Finding the Third Proportional to 24,836 and 50,764

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Solution

The third proportional to 24,836 and 50,764 is: 103,760.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,836 : 50,764 = 50,764 : x
  2. Step 2: Convert to fraction form
    24,836/50,764 = 50,764/x
  3. Step 3: Cross multiply
    24,836x = 50,764 × 50,764
  4. Step 4: Simplify right side
    24,836x = 2,576,983,696
  5. Step 5: Solve for x
    x = 2,576,983,696/24,836
  6. Step 6: Final answer
    x = 103,760.01

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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.