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Finding the Third Proportional to 24,838 and 54,137

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Solution

The third proportional to 24,838 and 54,137 is: 117,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838 : 54,137 = 54,137 : x
  2. Step 2: Convert to fraction form
    24,838/54,137 = 54,137/x
  3. Step 3: Cross multiply
    24,838x = 54,137 × 54,137
  4. Step 4: Simplify right side
    24,838x = 2,930,814,769
  5. Step 5: Solve for x
    x = 2,930,814,769/24,838
  6. Step 6: Final answer
    x = 117,997.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.