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Finding the Third Proportional to 24,228 and 51,912

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Solution

The third proportional to 24,228 and 51,912 is: 111,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228 : 51,912 = 51,912 : x
  2. Step 2: Convert to fraction form
    24,228/51,912 = 51,912/x
  3. Step 3: Cross multiply
    24,228x = 51,912 × 51,912
  4. Step 4: Simplify right side
    24,228x = 2,694,855,744
  5. Step 5: Solve for x
    x = 2,694,855,744/24,228
  6. Step 6: Final answer
    x = 111,228.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.