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Finding the Third Proportional to 24,858 and 49,698

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Solution

The third proportional to 24,858 and 49,698 is: 99,360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858 : 49,698 = 49,698 : x
  2. Step 2: Convert to fraction form
    24,858/49,698 = 49,698/x
  3. Step 3: Cross multiply
    24,858x = 49,698 × 49,698
  4. Step 4: Simplify right side
    24,858x = 2,469,891,204
  5. Step 5: Solve for x
    x = 2,469,891,204/24,858
  6. Step 6: Final answer
    x = 99,360.01

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.